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Finding the Fourth Proportional to 541,856.24, 747,769.48 and 312,409.52

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Solution

The fourth proportional to 541,856.24, 747,769.48 and 312,409.52 is: 431,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,856.24 : 747,769.48 = 312,409.52 : x
  2. Step 2: Convert to fraction form
    541,856.24/747,769.48 = 312,409.52/x
  3. Step 3: Cross multiply
    541,856.24x = 747,769.48 × 312,409.52
  4. Step 4: Simplify right side
    541,856.24x = 233,610,304,317.45
  5. Step 5: Solve for x
    x = 233,610,304,317.45/541,856.24
  6. Step 6: Final answer
    x = 431,129.67

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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.