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Finding the Fourth Proportional to 289,567.76, 399,468.12 and 192,820.28

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Solution

The fourth proportional to 289,567.76, 399,468.12 and 192,820.28 is: 266,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,567.76 : 399,468.12 = 192,820.28 : x
  2. Step 2: Convert to fraction form
    289,567.76/399,468.12 = 192,820.28/x
  3. Step 3: Cross multiply
    289,567.76x = 399,468.12 × 192,820.28
  4. Step 4: Simplify right side
    289,567.76x = 77,025,554,749.47
  5. Step 5: Solve for x
    x = 77,025,554,749.47/289,567.76
  6. Step 6: Final answer
    x = 266,001.83

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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.