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Finding the Fourth Proportional to 829,644.12, 1,144,843.47 and 466,995.78

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Solution

The fourth proportional to 829,644.12, 1,144,843.47 and 466,995.78 is: 644,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,644.12 : 1,144,843.47 = 466,995.78 : x
  2. Step 2: Convert to fraction form
    829,644.12/1,144,843.47 = 466,995.78/x
  3. Step 3: Cross multiply
    829,644.12x = 1,144,843.47 × 466,995.78
  4. Step 4: Simplify right side
    829,644.12x = 534,637,069,250.56
  5. Step 5: Solve for x
    x = 534,637,069,250.56/829,644.12
  6. Step 6: Final answer
    x = 644,417.35

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.