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Finding the Fourth Proportional to 404,458.42, 558,202 and 232,376

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Solution

The fourth proportional to 404,458.42, 558,202 and 232,376 is: 320,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,458.42 : 558,202 = 232,376 : x
  2. Step 2: Convert to fraction form
    404,458.42/558,202 = 232,376/x
  3. Step 3: Cross multiply
    404,458.42x = 558,202 × 232,376
  4. Step 4: Simplify right side
    404,458.42x = 129,712,747,952
  5. Step 5: Solve for x
    x = 129,712,747,952/404,458.42
  6. Step 6: Final answer
    x = 320,707.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.