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Finding the Fourth Proportional to 659,191.92, 909,351 and 417,066.72

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Solution

The fourth proportional to 659,191.92, 909,351 and 417,066.72 is: 575,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,191.92 : 909,351 = 417,066.72 : x
  2. Step 2: Convert to fraction form
    659,191.92/909,351 = 417,066.72/x
  3. Step 3: Cross multiply
    659,191.92x = 909,351 × 417,066.72
  4. Step 4: Simplify right side
    659,191.92x = 379,260,038,898.72
  5. Step 5: Solve for x
    x = 379,260,038,898.72/659,191.92
  6. Step 6: Final answer
    x = 575,340.85

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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.