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Finding the Fourth Proportional to 314,356.93, 471,164.06 and 134,389.71

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Solution

The fourth proportional to 314,356.93, 471,164.06 and 134,389.71 is: 201,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,356.93 : 471,164.06 = 134,389.71 : x
  2. Step 2: Convert to fraction form
    314,356.93/471,164.06 = 134,389.71/x
  3. Step 3: Cross multiply
    314,356.93x = 471,164.06 × 134,389.71
  4. Step 4: Simplify right side
    314,356.93x = 63,319,601,721.80
  5. Step 5: Solve for x
    x = 63,319,601,721.80/314,356.93
  6. Step 6: Final answer
    x = 201,425.82

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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.