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Finding the Fourth Proportional to 413,613.70, 577,878.20 and 413,613.70

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Solution

The fourth proportional to 413,613.70, 577,878.20 and 413,613.70 is: 577,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,613.70 : 577,878.20 = 413,613.70 : x
  2. Step 2: Convert to fraction form
    413,613.70/577,878.20 = 413,613.70/x
  3. Step 3: Cross multiply
    413,613.70x = 577,878.20 × 413,613.70
  4. Step 4: Simplify right side
    413,613.70x = 239,018,340,451.34
  5. Step 5: Solve for x
    x = 239,018,340,451.34/413,613.70
  6. Step 6: Final answer
    x = 577,878.20

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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.