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Finding the Fourth Proportional to 314,279.92, 433,750.96 and 178,347.36

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Solution

The fourth proportional to 314,279.92, 433,750.96 and 178,347.36 is: 246,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,279.92 : 433,750.96 = 178,347.36 : x
  2. Step 2: Convert to fraction form
    314,279.92/433,750.96 = 178,347.36/x
  3. Step 3: Cross multiply
    314,279.92x = 433,750.96 × 178,347.36
  4. Step 4: Simplify right side
    314,279.92x = 77,358,338,613.47
  5. Step 5: Solve for x
    x = 77,358,338,613.47/314,279.92
  6. Step 6: Final answer
    x = 246,144.71

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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.