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Finding the Fourth Proportional to 506,471.16, 759,715.38 and 417,375.48

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Solution

The fourth proportional to 506,471.16, 759,715.38 and 417,375.48 is: 626,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,471.16 : 759,715.38 = 417,375.48 : x
  2. Step 2: Convert to fraction form
    506,471.16/759,715.38 = 417,375.48/x
  3. Step 3: Cross multiply
    506,471.16x = 759,715.38 × 417,375.48
  4. Step 4: Simplify right side
    506,471.16x = 317,086,571,390.88
  5. Step 5: Solve for x
    x = 317,086,571,390.88/506,471.16
  6. Step 6: Final answer
    x = 626,070.34

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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.