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Finding the Fourth Proportional to 508,357.96, 762,004.84 and 171,282.16

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Solution

The fourth proportional to 508,357.96, 762,004.84 and 171,282.16 is: 256,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,357.96 : 762,004.84 = 171,282.16 : x
  2. Step 2: Convert to fraction form
    508,357.96/762,004.84 = 171,282.16/x
  3. Step 3: Cross multiply
    508,357.96x = 762,004.84 × 171,282.16
  4. Step 4: Simplify right side
    508,357.96x = 130,517,834,925.65
  5. Step 5: Solve for x
    x = 130,517,834,925.65/508,357.96
  6. Step 6: Final answer
    x = 256,743.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.