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Finding the Fourth Proportional to 542,476.52, 813,748.61 and 143,117.67

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Solution

The fourth proportional to 542,476.52, 813,748.61 and 143,117.67 is: 214,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,476.52 : 813,748.61 = 143,117.67 : x
  2. Step 2: Convert to fraction form
    542,476.52/813,748.61 = 143,117.67/x
  3. Step 3: Cross multiply
    542,476.52x = 813,748.61 × 143,117.67
  4. Step 4: Simplify right side
    542,476.52x = 116,461,804,313.35
  5. Step 5: Solve for x
    x = 116,461,804,313.35/542,476.52
  6. Step 6: Final answer
    x = 214,685.43

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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.