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Finding the Fourth Proportional to 413,614.20, 577,878.90 and 413,614.20

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Solution

The fourth proportional to 413,614.20, 577,878.90 and 413,614.20 is: 577,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,614.20 : 577,878.90 = 413,614.20 : x
  2. Step 2: Convert to fraction form
    413,614.20/577,878.90 = 413,614.20/x
  3. Step 3: Cross multiply
    413,614.20x = 577,878.90 × 413,614.20
  4. Step 4: Simplify right side
    413,614.20x = 239,018,918,920.38
  5. Step 5: Solve for x
    x = 239,018,918,920.38/413,614.20
  6. Step 6: Final answer
    x = 577,878.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.