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Finding the Fourth Proportional to 356,428.70, 534,649.89 and 116,543.50

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Solution

The fourth proportional to 356,428.70, 534,649.89 and 116,543.50 is: 174,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,428.70 : 534,649.89 = 116,543.50 : x
  2. Step 2: Convert to fraction form
    356,428.70/534,649.89 = 116,543.50/x
  3. Step 3: Cross multiply
    356,428.70x = 534,649.89 × 116,543.50
  4. Step 4: Simplify right side
    356,428.70x = 62,309,971,080.93
  5. Step 5: Solve for x
    x = 62,309,971,080.93/356,428.70
  6. Step 6: Final answer
    x = 174,817.49

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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.