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Finding the Fourth Proportional to 500,229, 750,421.86 and 163,191.78

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Solution

The fourth proportional to 500,229, 750,421.86 and 163,191.78 is: 244,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,229 : 750,421.86 = 163,191.78 : x
  2. Step 2: Convert to fraction form
    500,229/750,421.86 = 163,191.78/x
  3. Step 3: Cross multiply
    500,229x = 750,421.86 × 163,191.78
  4. Step 4: Simplify right side
    500,229x = 122,462,679,084.31
  5. Step 5: Solve for x
    x = 122,462,679,084.31/500,229
  6. Step 6: Final answer
    x = 244,813.23

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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.