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Finding the Fourth Proportional to 376,041.40, 564,191.70 and 165,830.20

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Solution

The fourth proportional to 376,041.40, 564,191.70 and 165,830.20 is: 248,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,041.40 : 564,191.70 = 165,830.20 : x
  2. Step 2: Convert to fraction form
    376,041.40/564,191.70 = 165,830.20/x
  3. Step 3: Cross multiply
    376,041.40x = 564,191.70 × 165,830.20
  4. Step 4: Simplify right side
    376,041.40x = 93,560,022,449.34
  5. Step 5: Solve for x
    x = 93,560,022,449.34/376,041.40
  6. Step 6: Final answer
    x = 248,802.45

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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.