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Finding the Fourth Proportional to 314,995.76, 472,225.96 and 146,613.88

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Solution

The fourth proportional to 314,995.76, 472,225.96 and 146,613.88 is: 219,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,995.76 : 472,225.96 = 146,613.88 : x
  2. Step 2: Convert to fraction form
    314,995.76/472,225.96 = 146,613.88/x
  3. Step 3: Cross multiply
    314,995.76x = 472,225.96 × 146,613.88
  4. Step 4: Simplify right side
    314,995.76x = 69,234,880,232.32
  5. Step 5: Solve for x
    x = 69,234,880,232.32/314,995.76
  6. Step 6: Final answer
    x = 219,796.23

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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.