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Finding the Fourth Proportional to 609,902.32, 842,085.30 and 466,412.44

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Solution

The fourth proportional to 609,902.32, 842,085.30 and 466,412.44 is: 643,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,902.32 : 842,085.30 = 466,412.44 : x
  2. Step 2: Convert to fraction form
    609,902.32/842,085.30 = 466,412.44/x
  3. Step 3: Cross multiply
    609,902.32x = 842,085.30 × 466,412.44
  4. Step 4: Simplify right side
    609,902.32x = 392,759,059,461.13
  5. Step 5: Solve for x
    x = 392,759,059,461.13/609,902.32
  6. Step 6: Final answer
    x = 643,970.43

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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.