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Finding the Fourth Proportional to 541,411.16, 747,138.34 and 299,688.56

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Solution

The fourth proportional to 541,411.16, 747,138.34 and 299,688.56 is: 413,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,411.16 : 747,138.34 = 299,688.56 : x
  2. Step 2: Convert to fraction form
    541,411.16/747,138.34 = 299,688.56/x
  3. Step 3: Cross multiply
    541,411.16x = 747,138.34 × 299,688.56
  4. Step 4: Simplify right side
    541,411.16x = 223,908,813,235.39
  5. Step 5: Solve for x
    x = 223,908,813,235.39/541,411.16
  6. Step 6: Final answer
    x = 413,565.20

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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.