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Finding the Fourth Proportional to 413,612.95, 577,877.15 and 413,612.95

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Solution

The fourth proportional to 413,612.95, 577,877.15 and 413,612.95 is: 577,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,612.95 : 577,877.15 = 413,612.95 : x
  2. Step 2: Convert to fraction form
    413,612.95/577,877.15 = 413,612.95/x
  3. Step 3: Cross multiply
    413,612.95x = 577,877.15 × 413,612.95
  4. Step 4: Simplify right side
    413,612.95x = 239,017,472,749.09
  5. Step 5: Solve for x
    x = 239,017,472,749.09/413,612.95
  6. Step 6: Final answer
    x = 577,877.15

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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.