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Finding the Fourth Proportional to 283,744.09, 391,569.47 and 156,424.24

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Solution

The fourth proportional to 283,744.09, 391,569.47 and 156,424.24 is: 215,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,744.09 : 391,569.47 = 156,424.24 : x
  2. Step 2: Convert to fraction form
    283,744.09/391,569.47 = 156,424.24/x
  3. Step 3: Cross multiply
    283,744.09x = 391,569.47 × 156,424.24
  4. Step 4: Simplify right side
    283,744.09x = 61,250,956,751.95
  5. Step 5: Solve for x
    x = 61,250,956,751.95/283,744.09
  6. Step 6: Final answer
    x = 215,866.90

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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.