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Finding the Fourth Proportional to 517,706.60, 714,433.65 and 291,352.10

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Solution

The fourth proportional to 517,706.60, 714,433.65 and 291,352.10 is: 402,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,706.60 : 714,433.65 = 291,352.10 : x
  2. Step 2: Convert to fraction form
    517,706.60/714,433.65 = 291,352.10/x
  3. Step 3: Cross multiply
    517,706.60x = 714,433.65 × 291,352.10
  4. Step 4: Simplify right side
    517,706.60x = 208,151,744,238.17
  5. Step 5: Solve for x
    x = 208,151,744,238.17/517,706.60
  6. Step 6: Final answer
    x = 402,065.08

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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.