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Finding the Fourth Proportional to 312,568.96, 431,368.32 and 176,618.56

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Solution

The fourth proportional to 312,568.96, 431,368.32 and 176,618.56 is: 243,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,568.96 : 431,368.32 = 176,618.56 : x
  2. Step 2: Convert to fraction form
    312,568.96/431,368.32 = 176,618.56/x
  3. Step 3: Cross multiply
    312,568.96x = 431,368.32 × 176,618.56
  4. Step 4: Simplify right side
    312,568.96x = 76,187,651,508.02
  5. Step 5: Solve for x
    x = 76,187,651,508.02/312,568.96
  6. Step 6: Final answer
    x = 243,746.70

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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.