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Finding the Fourth Proportional to 404,416.32, 602,473.20 and 386,220.48

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Solution

The fourth proportional to 404,416.32, 602,473.20 and 386,220.48 is: 575,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,416.32 : 602,473.20 = 386,220.48 : x
  2. Step 2: Convert to fraction form
    404,416.32/602,473.20 = 386,220.48/x
  3. Step 3: Cross multiply
    404,416.32x = 602,473.20 × 386,220.48
  4. Step 4: Simplify right side
    404,416.32x = 232,687,488,491.14
  5. Step 5: Solve for x
    x = 232,687,488,491.14/404,416.32
  6. Step 6: Final answer
    x = 575,366.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.