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Finding the Fourth Proportional to 413,638.70, 577,913.20 and 413,638.70

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Solution

The fourth proportional to 413,638.70, 577,913.20 and 413,638.70 is: 577,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,638.70 : 577,913.20 = 413,638.70 : x
  2. Step 2: Convert to fraction form
    413,638.70/577,913.20 = 413,638.70/x
  3. Step 3: Cross multiply
    413,638.70x = 577,913.20 × 413,638.70
  4. Step 4: Simplify right side
    413,638.70x = 239,047,264,760.84
  5. Step 5: Solve for x
    x = 239,047,264,760.84/413,638.70
  6. Step 6: Final answer
    x = 577,913.20

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