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Finding the Fourth Proportional to 356,646.82, 534,777.02 and 156,733.14

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Solution

The fourth proportional to 356,646.82, 534,777.02 and 156,733.14 is: 235,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,646.82 : 534,777.02 = 156,733.14 : x
  2. Step 2: Convert to fraction form
    356,646.82/534,777.02 = 156,733.14/x
  3. Step 3: Cross multiply
    356,646.82x = 534,777.02 × 156,733.14
  4. Step 4: Simplify right side
    356,646.82x = 83,817,281,544.44
  5. Step 5: Solve for x
    x = 83,817,281,544.44/356,646.82
  6. Step 6: Final answer
    x = 235,014.80

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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.