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Finding the Fourth Proportional to 413,057.52, 619,467.12 and 113,547.87

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Solution

The fourth proportional to 413,057.52, 619,467.12 and 113,547.87 is: 170,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,057.52 : 619,467.12 = 113,547.87 : x
  2. Step 2: Convert to fraction form
    413,057.52/619,467.12 = 113,547.87/x
  3. Step 3: Cross multiply
    413,057.52x = 619,467.12 × 113,547.87
  4. Step 4: Simplify right side
    413,057.52x = 70,339,172,011.03
  5. Step 5: Solve for x
    x = 70,339,172,011.03/413,057.52
  6. Step 6: Final answer
    x = 170,289.05

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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.