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Finding the Fourth Proportional to 506,894, 760,311.48 and 132,916.88

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Solution

The fourth proportional to 506,894, 760,311.48 and 132,916.88 is: 199,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,894 : 760,311.48 = 132,916.88 : x
  2. Step 2: Convert to fraction form
    506,894/760,311.48 = 132,916.88/x
  3. Step 3: Cross multiply
    506,894x = 760,311.48 × 132,916.88
  4. Step 4: Simplify right side
    506,894x = 101,058,229,749.78
  5. Step 5: Solve for x
    x = 101,058,229,749.78/506,894
  6. Step 6: Final answer
    x = 199,367.58

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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.