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Finding the Fourth Proportional to 384,011.80, 576,708.90 and 371,570.20

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Solution

The fourth proportional to 384,011.80, 576,708.90 and 371,570.20 is: 558,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,011.80 : 576,708.90 = 371,570.20 : x
  2. Step 2: Convert to fraction form
    384,011.80/576,708.90 = 371,570.20/x
  3. Step 3: Cross multiply
    384,011.80x = 576,708.90 × 371,570.20
  4. Step 4: Simplify right side
    384,011.80x = 214,287,841,314.78
  5. Step 5: Solve for x
    x = 214,287,841,314.78/384,011.80
  6. Step 6: Final answer
    x = 558,024.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.