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Finding the Fourth Proportional to 312,070.56, 430,715.64 and 177,934.56

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Solution

The fourth proportional to 312,070.56, 430,715.64 and 177,934.56 is: 245,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,070.56 : 430,715.64 = 177,934.56 : x
  2. Step 2: Convert to fraction form
    312,070.56/430,715.64 = 177,934.56/x
  3. Step 3: Cross multiply
    312,070.56x = 430,715.64 × 177,934.56
  4. Step 4: Simplify right side
    312,070.56x = 76,639,197,888.52
  5. Step 5: Solve for x
    x = 76,639,197,888.52/312,070.56
  6. Step 6: Final answer
    x = 245,582.92

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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.