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Finding the Fourth Proportional to 423,152.96, 583,951.64 and 232,167.11

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Solution

The fourth proportional to 423,152.96, 583,951.64 and 232,167.11 is: 320,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,152.96 : 583,951.64 = 232,167.11 : x
  2. Step 2: Convert to fraction form
    423,152.96/583,951.64 = 232,167.11/x
  3. Step 3: Cross multiply
    423,152.96x = 583,951.64 × 232,167.11
  4. Step 4: Simplify right side
    423,152.96x = 135,574,360,557.97
  5. Step 5: Solve for x
    x = 135,574,360,557.97/423,152.96
  6. Step 6: Final answer
    x = 320,390.91

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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.