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Finding the Fourth Proportional to 502,318.36, 753,471.73 and 123,235.40

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Solution

The fourth proportional to 502,318.36, 753,471.73 and 123,235.40 is: 184,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,318.36 : 753,471.73 = 123,235.40 : x
  2. Step 2: Convert to fraction form
    502,318.36/753,471.73 = 123,235.40/x
  3. Step 3: Cross multiply
    502,318.36x = 753,471.73 × 123,235.40
  4. Step 4: Simplify right side
    502,318.36x = 92,854,390,127.13
  5. Step 5: Solve for x
    x = 92,854,390,127.13/502,318.36
  6. Step 6: Final answer
    x = 184,851.67

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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.