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Finding the Fourth Proportional to 506,213.36, 699,139.32 and 392,863.76

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Solution

The fourth proportional to 506,213.36, 699,139.32 and 392,863.76 is: 542,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,213.36 : 699,139.32 = 392,863.76 : x
  2. Step 2: Convert to fraction form
    506,213.36/699,139.32 = 392,863.76/x
  3. Step 3: Cross multiply
    506,213.36x = 699,139.32 × 392,863.76
  4. Step 4: Simplify right side
    506,213.36x = 274,666,502,019.04
  5. Step 5: Solve for x
    x = 274,666,502,019.04/506,213.36
  6. Step 6: Final answer
    x = 542,590.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.