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Finding the Fourth Proportional to 314,711.16, 472,478.27 and 186,860.81

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Solution

The fourth proportional to 314,711.16, 472,478.27 and 186,860.81 is: 280,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,711.16 : 472,478.27 = 186,860.81 : x
  2. Step 2: Convert to fraction form
    314,711.16/472,478.27 = 186,860.81/x
  3. Step 3: Cross multiply
    314,711.16x = 472,478.27 × 186,860.81
  4. Step 4: Simplify right side
    314,711.16x = 88,287,668,942.90
  5. Step 5: Solve for x
    x = 88,287,668,942.90/314,711.16
  6. Step 6: Final answer
    x = 280,535.55

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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.