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Finding the Fourth Proportional to 314,833.76, 472,338.48 and 137,356.64

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Solution

The fourth proportional to 314,833.76, 472,338.48 and 137,356.64 is: 206,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,833.76 : 472,338.48 = 137,356.64 : x
  2. Step 2: Convert to fraction form
    314,833.76/472,338.48 = 137,356.64/x
  3. Step 3: Cross multiply
    314,833.76x = 472,338.48 × 137,356.64
  4. Step 4: Simplify right side
    314,833.76x = 64,878,826,555.51
  5. Step 5: Solve for x
    x = 64,878,826,555.51/314,833.76
  6. Step 6: Final answer
    x = 206,073.28

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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.