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Finding the Fourth Proportional to 423,165.36, 584,006.04 and 232,215.96

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Solution

The fourth proportional to 423,165.36, 584,006.04 and 232,215.96 is: 320,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,165.36 : 584,006.04 = 232,215.96 : x
  2. Step 2: Convert to fraction form
    423,165.36/584,006.04 = 232,215.96/x
  3. Step 3: Cross multiply
    423,165.36x = 584,006.04 × 232,215.96
  4. Step 4: Simplify right side
    423,165.36x = 135,615,523,224.40
  5. Step 5: Solve for x
    x = 135,615,523,224.40/423,165.36
  6. Step 6: Final answer
    x = 320,478.79

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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.