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Finding the Fourth Proportional to 492,765.08, 679,399.68 and 411,210.83

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Solution

The fourth proportional to 492,765.08, 679,399.68 and 411,210.83 is: 566,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,765.08 : 679,399.68 = 411,210.83 : x
  2. Step 2: Convert to fraction form
    492,765.08/679,399.68 = 411,210.83/x
  3. Step 3: Cross multiply
    492,765.08x = 679,399.68 × 411,210.83
  4. Step 4: Simplify right side
    492,765.08x = 279,376,502,263.86
  5. Step 5: Solve for x
    x = 279,376,502,263.86/492,765.08
  6. Step 6: Final answer
    x = 566,956.78

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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.