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Finding the Fourth Proportional to 314,753.66, 472,129.88 and 98,628.94

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Solution

The fourth proportional to 314,753.66, 472,129.88 and 98,628.94 is: 147,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,753.66 : 472,129.88 = 98,628.94 : x
  2. Step 2: Convert to fraction form
    314,753.66/472,129.88 = 98,628.94/x
  3. Step 3: Cross multiply
    314,753.66x = 472,129.88 × 98,628.94
  4. Step 4: Simplify right side
    314,753.66x = 46,565,669,606.73
  5. Step 5: Solve for x
    x = 46,565,669,606.73/314,753.66
  6. Step 6: Final answer
    x = 147,943.22

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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.