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Finding the Fourth Proportional to 517,706.10, 714,432.96 and 291,351.60

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Solution

The fourth proportional to 517,706.10, 714,432.96 and 291,351.60 is: 402,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,706.10 : 714,432.96 = 291,351.60 : x
  2. Step 2: Convert to fraction form
    517,706.10/714,432.96 = 291,351.60/x
  3. Step 3: Cross multiply
    517,706.10x = 714,432.96 × 291,351.60
  4. Step 4: Simplify right side
    517,706.10x = 208,151,185,988.74
  5. Step 5: Solve for x
    x = 208,151,185,988.74/517,706.10
  6. Step 6: Final answer
    x = 402,064.39

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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.