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Finding the Fourth Proportional to 364,096.92, 502,470.72 and 202,953.12

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Solution

The fourth proportional to 364,096.92, 502,470.72 and 202,953.12 is: 280,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,096.92 : 502,470.72 = 202,953.12 : x
  2. Step 2: Convert to fraction form
    364,096.92/502,470.72 = 202,953.12/x
  3. Step 3: Cross multiply
    364,096.92x = 502,470.72 × 202,953.12
  4. Step 4: Simplify right side
    364,096.92x = 101,978,000,332.65
  5. Step 5: Solve for x
    x = 101,978,000,332.65/364,096.92
  6. Step 6: Final answer
    x = 280,084.77

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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.