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Finding the Fourth Proportional to 413,613.45, 577,877.85 and 413,613.45

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Solution

The fourth proportional to 413,613.45, 577,877.85 and 413,613.45 is: 577,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,613.45 : 577,877.85 = 413,613.45 : x
  2. Step 2: Convert to fraction form
    413,613.45/577,877.85 = 413,613.45/x
  3. Step 3: Cross multiply
    413,613.45x = 577,877.85 × 413,613.45
  4. Step 4: Simplify right side
    413,613.45x = 239,018,051,217.08
  5. Step 5: Solve for x
    x = 239,018,051,217.08/413,613.45
  6. Step 6: Final answer
    x = 577,877.85

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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.