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Finding the Fourth Proportional to 423,718, 584,731.38 and 232,735.12

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Solution

The fourth proportional to 423,718, 584,731.38 and 232,735.12 is: 321,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,718 : 584,731.38 = 232,735.12 : x
  2. Step 2: Convert to fraction form
    423,718/584,731.38 = 232,735.12/x
  3. Step 3: Cross multiply
    423,718x = 584,731.38 × 232,735.12
  4. Step 4: Simplify right side
    423,718x = 136,087,527,892.07
  5. Step 5: Solve for x
    x = 136,087,527,892.07/423,718
  6. Step 6: Final answer
    x = 321,174.76

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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.