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Finding the Fourth Proportional to 517,417.60, 714,035.28 and 291,063.12

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Solution

The fourth proportional to 517,417.60, 714,035.28 and 291,063.12 is: 401,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,417.60 : 714,035.28 = 291,063.12 : x
  2. Step 2: Convert to fraction form
    517,417.60/714,035.28 = 291,063.12/x
  3. Step 3: Cross multiply
    517,417.60x = 714,035.28 × 291,063.12
  4. Step 4: Simplify right side
    517,417.60x = 207,829,336,386.87
  5. Step 5: Solve for x
    x = 207,829,336,386.87/517,417.60
  6. Step 6: Final answer
    x = 401,666.54

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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.