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Finding the Fourth Proportional to 423,032.63, 583,785.02 and 232,046.47

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Solution

The fourth proportional to 423,032.63, 583,785.02 and 232,046.47 is: 320,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,032.63 : 583,785.02 = 232,046.47 : x
  2. Step 2: Convert to fraction form
    423,032.63/583,785.02 = 232,046.47/x
  3. Step 3: Cross multiply
    423,032.63x = 583,785.02 × 232,046.47
  4. Step 4: Simplify right side
    423,032.63x = 135,465,254,439.73
  5. Step 5: Solve for x
    x = 135,465,254,439.73/423,032.63
  6. Step 6: Final answer
    x = 320,224.13

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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.