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Finding the Fourth Proportional to 417,004.66, 625,501.32 and 101,461.87

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Solution

The fourth proportional to 417,004.66, 625,501.32 and 101,461.87 is: 152,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,004.66 : 625,501.32 = 101,461.87 : x
  2. Step 2: Convert to fraction form
    417,004.66/625,501.32 = 101,461.87/x
  3. Step 3: Cross multiply
    417,004.66x = 625,501.32 × 101,461.87
  4. Step 4: Simplify right side
    417,004.66x = 63,464,533,614.67
  5. Step 5: Solve for x
    x = 63,464,533,614.67/417,004.66
  6. Step 6: Final answer
    x = 152,191.43

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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.