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Finding the Fourth Proportional to 542,944.71, 749,299.14 and 313,511.67

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Solution

The fourth proportional to 542,944.71, 749,299.14 and 313,511.67 is: 432,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,944.71 : 749,299.14 = 313,511.67 : x
  2. Step 2: Convert to fraction form
    542,944.71/749,299.14 = 313,511.67/x
  3. Step 3: Cross multiply
    542,944.71x = 749,299.14 × 313,511.67
  4. Step 4: Simplify right side
    542,944.71x = 234,914,024,710.96
  5. Step 5: Solve for x
    x = 234,914,024,710.96/542,944.71
  6. Step 6: Final answer
    x = 432,666.57

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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.