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Finding the Fourth Proportional to 423,097.96, 583,882.98 and 232,099.72

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Solution

The fourth proportional to 423,097.96, 583,882.98 and 232,099.72 is: 320,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,097.96 : 583,882.98 = 232,099.72 : x
  2. Step 2: Convert to fraction form
    423,097.96/583,882.98 = 232,099.72/x
  3. Step 3: Cross multiply
    423,097.96x = 583,882.98 × 232,099.72
  4. Step 4: Simplify right side
    423,097.96x = 135,519,076,170.77
  5. Step 5: Solve for x
    x = 135,519,076,170.77/423,097.96
  6. Step 6: Final answer
    x = 320,301.89

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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.