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Finding the Fourth Proportional to 564,732.42, 846,849.96 and 265,298.10

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Solution

The fourth proportional to 564,732.42, 846,849.96 and 265,298.10 is: 397,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,732.42 : 846,849.96 = 265,298.10 : x
  2. Step 2: Convert to fraction form
    564,732.42/846,849.96 = 265,298.10/x
  3. Step 3: Cross multiply
    564,732.42x = 846,849.96 × 265,298.10
  4. Step 4: Simplify right side
    564,732.42x = 224,667,685,373.08
  5. Step 5: Solve for x
    x = 224,667,685,373.08/564,732.42
  6. Step 6: Final answer
    x = 397,830.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.