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Finding the Fourth Proportional to 401,348.80, 602,023.20 and 381,665.80

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Solution

The fourth proportional to 401,348.80, 602,023.20 and 381,665.80 is: 572,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,348.80 : 602,023.20 = 381,665.80 : x
  2. Step 2: Convert to fraction form
    401,348.80/602,023.20 = 381,665.80/x
  3. Step 3: Cross multiply
    401,348.80x = 602,023.20 × 381,665.80
  4. Step 4: Simplify right side
    401,348.80x = 229,771,666,246.56
  5. Step 5: Solve for x
    x = 229,771,666,246.56/401,348.80
  6. Step 6: Final answer
    x = 572,498.70

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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.