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Finding the Fourth Proportional to 423,270.66, 584,095.14 and 232,287.24

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Solution

The fourth proportional to 423,270.66, 584,095.14 and 232,287.24 is: 320,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,270.66 : 584,095.14 = 232,287.24 : x
  2. Step 2: Convert to fraction form
    423,270.66/584,095.14 = 232,287.24/x
  3. Step 3: Cross multiply
    423,270.66x = 584,095.14 × 232,287.24
  4. Step 4: Simplify right side
    423,270.66x = 135,677,847,968.01
  5. Step 5: Solve for x
    x = 135,677,847,968.01/423,270.66
  6. Step 6: Final answer
    x = 320,546.31

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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.