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Finding the Fourth Proportional to 410,098.80, 614,629.80 and 365,516.40

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Solution

The fourth proportional to 410,098.80, 614,629.80 and 365,516.40 is: 547,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,098.80 : 614,629.80 = 365,516.40 : x
  2. Step 2: Convert to fraction form
    410,098.80/614,629.80 = 365,516.40/x
  3. Step 3: Cross multiply
    410,098.80x = 614,629.80 × 365,516.40
  4. Step 4: Simplify right side
    410,098.80x = 224,657,271,828.72
  5. Step 5: Solve for x
    x = 224,657,271,828.72/410,098.80
  6. Step 6: Final answer
    x = 547,812.56

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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.