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Finding the Fourth Proportional to 376,211.40, 564,463.98 and 165,701.76

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Solution

The fourth proportional to 376,211.40, 564,463.98 and 165,701.76 is: 248,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,211.40 : 564,463.98 = 165,701.76 : x
  2. Step 2: Convert to fraction form
    376,211.40/564,463.98 = 165,701.76/x
  3. Step 3: Cross multiply
    376,211.40x = 564,463.98 × 165,701.76
  4. Step 4: Simplify right side
    376,211.40x = 93,532,674,942.60
  5. Step 5: Solve for x
    x = 93,532,674,942.60/376,211.40
  6. Step 6: Final answer
    x = 248,617.33

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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.