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Finding the Fourth Proportional to 423,545.82, 584,502.66 and 232,560

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Solution

The fourth proportional to 423,545.82, 584,502.66 and 232,560 is: 320,937.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,545.82 : 584,502.66 = 232,560 : x
  2. Step 2: Convert to fraction form
    423,545.82/584,502.66 = 232,560/x
  3. Step 3: Cross multiply
    423,545.82x = 584,502.66 × 232,560
  4. Step 4: Simplify right side
    423,545.82x = 135,931,938,609.60
  5. Step 5: Solve for x
    x = 135,931,938,609.60/423,545.82
  6. Step 6: Final answer
    x = 320,937.98

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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.