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Finding the Fourth Proportional to 376,086.40, 564,259.20 and 165,875.20

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Solution

The fourth proportional to 376,086.40, 564,259.20 and 165,875.20 is: 248,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,086.40 : 564,259.20 = 165,875.20 : x
  2. Step 2: Convert to fraction form
    376,086.40/564,259.20 = 165,875.20/x
  3. Step 3: Cross multiply
    376,086.40x = 564,259.20 × 165,875.20
  4. Step 4: Simplify right side
    376,086.40x = 93,596,607,651.84
  5. Step 5: Solve for x
    x = 93,596,607,651.84/376,086.40
  6. Step 6: Final answer
    x = 248,869.96

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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.