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Finding the Fourth Proportional to 559,182.90, 837,944.90 and 410,713.14

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Solution

The fourth proportional to 559,182.90, 837,944.90 and 410,713.14 is: 615,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,182.90 : 837,944.90 = 410,713.14 : x
  2. Step 2: Convert to fraction form
    559,182.90/837,944.90 = 410,713.14/x
  3. Step 3: Cross multiply
    559,182.90x = 837,944.90 × 410,713.14
  4. Step 4: Simplify right side
    559,182.90x = 344,154,981,025.99
  5. Step 5: Solve for x
    x = 344,154,981,025.99/559,182.90
  6. Step 6: Final answer
    x = 615,460.49

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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.