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Finding the Fourth Proportional to 298,657.16, 447,748.91 and 156,475.16

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Solution

The fourth proportional to 298,657.16, 447,748.91 and 156,475.16 is: 234,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,657.16 : 447,748.91 = 156,475.16 : x
  2. Step 2: Convert to fraction form
    298,657.16/447,748.91 = 156,475.16/x
  3. Step 3: Cross multiply
    298,657.16x = 447,748.91 × 156,475.16
  4. Step 4: Simplify right side
    298,657.16x = 70,061,579,897.74
  5. Step 5: Solve for x
    x = 70,061,579,897.74/298,657.16
  6. Step 6: Final answer
    x = 234,588.65

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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.