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Finding the Fourth Proportional to 423,471.96, 584,392.29 and 232,497.64

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Solution

The fourth proportional to 423,471.96, 584,392.29 and 232,497.64 is: 320,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,471.96 : 584,392.29 = 232,497.64 : x
  2. Step 2: Convert to fraction form
    423,471.96/584,392.29 = 232,497.64/x
  3. Step 3: Cross multiply
    423,471.96x = 584,392.29 × 232,497.64
  4. Step 4: Simplify right side
    423,471.96x = 135,869,828,259.20
  5. Step 5: Solve for x
    x = 135,869,828,259.20/423,471.96
  6. Step 6: Final answer
    x = 320,847.28

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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.