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Finding the Fourth Proportional to 499,282.30, 748,048.65 and 410,052.70

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Solution

The fourth proportional to 499,282.30, 748,048.65 and 410,052.70 is: 614,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,282.30 : 748,048.65 = 410,052.70 : x
  2. Step 2: Convert to fraction form
    499,282.30/748,048.65 = 410,052.70/x
  3. Step 3: Cross multiply
    499,282.30x = 748,048.65 × 410,052.70
  4. Step 4: Simplify right side
    499,282.30x = 306,739,368,663.86
  5. Step 5: Solve for x
    x = 306,739,368,663.86/499,282.30
  6. Step 6: Final answer
    x = 614,360.59

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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.