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Finding the Fourth Proportional to 502,293.77, 753,544.41 and 165,354.67

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Solution

The fourth proportional to 502,293.77, 753,544.41 and 165,354.67 is: 248,066.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,293.77 : 753,544.41 = 165,354.67 : x
  2. Step 2: Convert to fraction form
    502,293.77/753,544.41 = 165,354.67/x
  3. Step 3: Cross multiply
    502,293.77x = 753,544.41 × 165,354.67
  4. Step 4: Simplify right side
    502,293.77x = 124,602,087,245.90
  5. Step 5: Solve for x
    x = 124,602,087,245.90/502,293.77
  6. Step 6: Final answer
    x = 248,066.16

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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.