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Finding the Fourth Proportional to 398,411.81, 549,792.26 and 217,119.85

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Solution

The fourth proportional to 398,411.81, 549,792.26 and 217,119.85 is: 299,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,411.81 : 549,792.26 = 217,119.85 : x
  2. Step 2: Convert to fraction form
    398,411.81/549,792.26 = 217,119.85/x
  3. Step 3: Cross multiply
    398,411.81x = 549,792.26 × 217,119.85
  4. Step 4: Simplify right side
    398,411.81x = 119,370,813,022.36
  5. Step 5: Solve for x
    x = 119,370,813,022.36/398,411.81
  6. Step 6: Final answer
    x = 299,616.65

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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.