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Finding the Fourth Proportional to 315,158.40, 472,802.40 and 104,947.20

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Solution

The fourth proportional to 315,158.40, 472,802.40 and 104,947.20 is: 157,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,158.40 : 472,802.40 = 104,947.20 : x
  2. Step 2: Convert to fraction form
    315,158.40/472,802.40 = 104,947.20/x
  3. Step 3: Cross multiply
    315,158.40x = 472,802.40 × 104,947.20
  4. Step 4: Simplify right side
    315,158.40x = 49,619,288,033.28
  5. Step 5: Solve for x
    x = 49,619,288,033.28/315,158.40
  6. Step 6: Final answer
    x = 157,442.38

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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.