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Finding the Fourth Proportional to 406,798.14, 561,312.53 and 271,034.58

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Solution

The fourth proportional to 406,798.14, 561,312.53 and 271,034.58 is: 373,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,798.14 : 561,312.53 = 271,034.58 : x
  2. Step 2: Convert to fraction form
    406,798.14/561,312.53 = 271,034.58/x
  3. Step 3: Cross multiply
    406,798.14x = 561,312.53 × 271,034.58
  4. Step 4: Simplify right side
    406,798.14x = 152,135,105,817.29
  5. Step 5: Solve for x
    x = 152,135,105,817.29/406,798.14
  6. Step 6: Final answer
    x = 373,981.81

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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.