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Finding the Fourth Proportional to 417,216.70, 625,825.06 and 207,264.70

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Solution

The fourth proportional to 417,216.70, 625,825.06 and 207,264.70 is: 310,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,216.70 : 625,825.06 = 207,264.70 : x
  2. Step 2: Convert to fraction form
    417,216.70/625,825.06 = 207,264.70/x
  3. Step 3: Cross multiply
    417,216.70x = 625,825.06 × 207,264.70
  4. Step 4: Simplify right side
    417,216.70x = 129,711,443,313.38
  5. Step 5: Solve for x
    x = 129,711,443,313.38/417,216.70
  6. Step 6: Final answer
    x = 310,897.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.