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Finding the Fourth Proportional to 413,627.70, 577,897.80 and 413,627.70

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Solution

The fourth proportional to 413,627.70, 577,897.80 and 413,627.70 is: 577,897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,627.70 : 577,897.80 = 413,627.70 : x
  2. Step 2: Convert to fraction form
    413,627.70/577,897.80 = 413,627.70/x
  3. Step 3: Cross multiply
    413,627.70x = 577,897.80 × 413,627.70
  4. Step 4: Simplify right side
    413,627.70x = 239,034,537,849.06
  5. Step 5: Solve for x
    x = 239,034,537,849.06/413,627.70
  6. Step 6: Final answer
    x = 577,897.80

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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.