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Finding the Fourth Proportional to 423,262.62, 584,109.54 and 232,293.78

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Solution

The fourth proportional to 423,262.62, 584,109.54 and 232,293.78 is: 320,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,262.62 : 584,109.54 = 232,293.78 : x
  2. Step 2: Convert to fraction form
    423,262.62/584,109.54 = 232,293.78/x
  3. Step 3: Cross multiply
    423,262.62x = 584,109.54 × 232,293.78
  4. Step 4: Simplify right side
    423,262.62x = 135,685,012,980.66
  5. Step 5: Solve for x
    x = 135,685,012,980.66/423,262.62
  6. Step 6: Final answer
    x = 320,569.33

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1.5x scale

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.