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Finding the Fourth Proportional to 314,557.61, 472,039.41 and 114,861.28

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Solution

The fourth proportional to 314,557.61, 472,039.41 and 114,861.28 is: 172,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,557.61 : 472,039.41 = 114,861.28 : x
  2. Step 2: Convert to fraction form
    314,557.61/472,039.41 = 114,861.28/x
  3. Step 3: Cross multiply
    314,557.61x = 472,039.41 × 114,861.28
  4. Step 4: Simplify right side
    314,557.61x = 54,219,047,908.54
  5. Step 5: Solve for x
    x = 54,219,047,908.54/314,557.61
  6. Step 6: Final answer
    x = 172,366.03

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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.