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Finding the Fourth Proportional to 610,223.24, 842,108.05 and 338,290.45

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Solution

The fourth proportional to 610,223.24, 842,108.05 and 338,290.45 is: 466,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,223.24 : 842,108.05 = 338,290.45 : x
  2. Step 2: Convert to fraction form
    610,223.24/842,108.05 = 338,290.45/x
  3. Step 3: Cross multiply
    610,223.24x = 842,108.05 × 338,290.45
  4. Step 4: Simplify right side
    610,223.24x = 284,877,108,232.13
  5. Step 5: Solve for x
    x = 284,877,108,232.13/610,223.24
  6. Step 6: Final answer
    x = 466,840.80

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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.