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Finding the Fourth Proportional to 517,999.71, 714,872.52 and 314,070.15

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Solution

The fourth proportional to 517,999.71, 714,872.52 and 314,070.15 is: 433,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,999.71 : 714,872.52 = 314,070.15 : x
  2. Step 2: Convert to fraction form
    517,999.71/714,872.52 = 314,070.15/x
  3. Step 3: Cross multiply
    517,999.71x = 714,872.52 × 314,070.15
  4. Step 4: Simplify right side
    517,999.71x = 224,520,119,587.28
  5. Step 5: Solve for x
    x = 224,520,119,587.28/517,999.71
  6. Step 6: Final answer
    x = 433,436.77

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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.