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Finding the Fourth Proportional to 377,008.42, 564,748.80 and 174,316.46

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Solution

The fourth proportional to 377,008.42, 564,748.80 and 174,316.46 is: 261,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,008.42 : 564,748.80 = 174,316.46 : x
  2. Step 2: Convert to fraction form
    377,008.42/564,748.80 = 174,316.46/x
  3. Step 3: Cross multiply
    377,008.42x = 564,748.80 × 174,316.46
  4. Step 4: Simplify right side
    377,008.42x = 98,445,011,605.25
  5. Step 5: Solve for x
    x = 98,445,011,605.25/377,008.42
  6. Step 6: Final answer
    x = 261,121.52

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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.