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Finding the Fourth Proportional to 298,656.65, 447,748.16 and 156,474.66

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Solution

The fourth proportional to 298,656.65, 447,748.16 and 156,474.66 is: 234,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,656.65 : 447,748.16 = 156,474.66 : x
  2. Step 2: Convert to fraction form
    298,656.65/447,748.16 = 156,474.66/x
  3. Step 3: Cross multiply
    298,656.65x = 447,748.16 × 156,474.66
  4. Step 4: Simplify right side
    298,656.65x = 70,061,241,101.63
  5. Step 5: Solve for x
    x = 70,061,241,101.63/298,656.65
  6. Step 6: Final answer
    x = 234,587.92

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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.