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Finding the Fourth Proportional to 517,152.96, 775,733.76 and 162,221.76

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Solution

The fourth proportional to 517,152.96, 775,733.76 and 162,221.76 is: 243,334.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,152.96 : 775,733.76 = 162,221.76 : x
  2. Step 2: Convert to fraction form
    517,152.96/775,733.76 = 162,221.76/x
  3. Step 3: Cross multiply
    517,152.96x = 775,733.76 × 162,221.76
  4. Step 4: Simplify right side
    517,152.96x = 125,840,895,838.62
  5. Step 5: Solve for x
    x = 125,840,895,838.62/517,152.96
  6. Step 6: Final answer
    x = 243,334.00

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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.