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Finding the Fourth Proportional to 314,838.40, 472,214.40 and 104,454.40

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Solution

The fourth proportional to 314,838.40, 472,214.40 and 104,454.40 is: 156,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,838.40 : 472,214.40 = 104,454.40 : x
  2. Step 2: Convert to fraction form
    314,838.40/472,214.40 = 104,454.40/x
  3. Step 3: Cross multiply
    314,838.40x = 472,214.40 × 104,454.40
  4. Step 4: Simplify right side
    314,838.40x = 49,324,871,823.36
  5. Step 5: Solve for x
    x = 49,324,871,823.36/314,838.40
  6. Step 6: Final answer
    x = 156,667.27

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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.