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Finding the Fourth Proportional to 418,098.42, 577,056.69 and 272,651.67

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Solution

The fourth proportional to 418,098.42, 577,056.69 and 272,651.67 is: 376,312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,098.42 : 577,056.69 = 272,651.67 : x
  2. Step 2: Convert to fraction form
    418,098.42/577,056.69 = 272,651.67/x
  3. Step 3: Cross multiply
    418,098.42x = 577,056.69 × 272,651.67
  4. Step 4: Simplify right side
    418,098.42x = 157,335,470,213.17
  5. Step 5: Solve for x
    x = 157,335,470,213.17/418,098.42
  6. Step 6: Final answer
    x = 376,312.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.