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Finding the Fourth Proportional to 513,113.45, 708,096.36 and 280,541.18

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Solution

The fourth proportional to 513,113.45, 708,096.36 and 280,541.18 is: 387,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,113.45 : 708,096.36 = 280,541.18 : x
  2. Step 2: Convert to fraction form
    513,113.45/708,096.36 = 280,541.18/x
  3. Step 3: Cross multiply
    513,113.45x = 708,096.36 × 280,541.18
  4. Step 4: Simplify right side
    513,113.45x = 198,650,191,210.38
  5. Step 5: Solve for x
    x = 198,650,191,210.38/513,113.45
  6. Step 6: Final answer
    x = 387,146.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.