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Finding the Fourth Proportional to 349,281.32, 523,483.56 and 149,366.54

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Solution

The fourth proportional to 349,281.32, 523,483.56 and 149,366.54 is: 223,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,281.32 : 523,483.56 = 149,366.54 : x
  2. Step 2: Convert to fraction form
    349,281.32/523,483.56 = 149,366.54/x
  3. Step 3: Cross multiply
    349,281.32x = 523,483.56 × 149,366.54
  4. Step 4: Simplify right side
    349,281.32x = 78,190,928,104.08
  5. Step 5: Solve for x
    x = 78,190,928,104.08/349,281.32
  6. Step 6: Final answer
    x = 223,862.32

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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.