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Finding the Fourth Proportional to 514,062.16, 771,277.72 and 229,728.90

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Solution

The fourth proportional to 514,062.16, 771,277.72 and 229,728.90 is: 344,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,062.16 : 771,277.72 = 229,728.90 : x
  2. Step 2: Convert to fraction form
    514,062.16/771,277.72 = 229,728.90/x
  3. Step 3: Cross multiply
    514,062.16x = 771,277.72 × 229,728.90
  4. Step 4: Simplify right side
    514,062.16x = 177,184,782,210.11
  5. Step 5: Solve for x
    x = 177,184,782,210.11/514,062.16
  6. Step 6: Final answer
    x = 344,675.79

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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.