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Finding the Fourth Proportional to 514,396.71, 771,313.19 and 159,312.15

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Solution

The fourth proportional to 514,396.71, 771,313.19 and 159,312.15 is: 238,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,396.71 : 771,313.19 = 159,312.15 : x
  2. Step 2: Convert to fraction form
    514,396.71/771,313.19 = 159,312.15/x
  3. Step 3: Cross multiply
    514,396.71x = 771,313.19 × 159,312.15
  4. Step 4: Simplify right side
    514,396.71x = 122,879,561,825.70
  5. Step 5: Solve for x
    x = 122,879,561,825.70/514,396.71
  6. Step 6: Final answer
    x = 238,880.92

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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.