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Finding the Fourth Proportional to 514,825.90, 709,672.24 and 361,433.76

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Solution

The fourth proportional to 514,825.90, 709,672.24 and 361,433.76 is: 498,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,825.90 : 709,672.24 = 361,433.76 : x
  2. Step 2: Convert to fraction form
    514,825.90/709,672.24 = 361,433.76/x
  3. Step 3: Cross multiply
    514,825.90x = 709,672.24 × 361,433.76
  4. Step 4: Simplify right side
    514,825.90x = 256,499,506,070.82
  5. Step 5: Solve for x
    x = 256,499,506,070.82/514,825.90
  6. Step 6: Final answer
    x = 498,225.72

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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.