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Finding the Fourth Proportional to 423,242.94, 584,073.54 and 232,259.52

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Solution

The fourth proportional to 423,242.94, 584,073.54 and 232,259.52 is: 320,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,242.94 : 584,073.54 = 232,259.52 : x
  2. Step 2: Convert to fraction form
    423,242.94/584,073.54 = 232,259.52/x
  3. Step 3: Cross multiply
    423,242.94x = 584,073.54 × 232,259.52
  4. Step 4: Simplify right side
    423,242.94x = 135,656,640,045.10
  5. Step 5: Solve for x
    x = 135,656,640,045.10/423,242.94
  6. Step 6: Final answer
    x = 320,517.20

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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.