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Finding the Fourth Proportional to 423,205.88, 584,061.06 and 232,256.12

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Solution

The fourth proportional to 423,205.88, 584,061.06 and 232,256.12 is: 320,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,205.88 : 584,061.06 = 232,256.12 : x
  2. Step 2: Convert to fraction form
    423,205.88/584,061.06 = 232,256.12/x
  3. Step 3: Cross multiply
    423,205.88x = 584,061.06 × 232,256.12
  4. Step 4: Simplify right side
    423,205.88x = 135,651,755,638.69
  5. Step 5: Solve for x
    x = 135,651,755,638.69/423,205.88
  6. Step 6: Final answer
    x = 320,533.72

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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.