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Finding the Fourth Proportional to 474,831.79, 712,284.57 and 137,878.00

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Solution

The fourth proportional to 474,831.79, 712,284.57 and 137,878.00 is: 206,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,831.79 : 712,284.57 = 137,878.00 : x
  2. Step 2: Convert to fraction form
    474,831.79/712,284.57 = 137,878.00/x
  3. Step 3: Cross multiply
    474,831.79x = 712,284.57 × 137,878.00
  4. Step 4: Simplify right side
    474,831.79x = 98,208,370,161.75
  5. Step 5: Solve for x
    x = 98,208,370,161.75/474,831.79
  6. Step 6: Final answer
    x = 206,827.71

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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.