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Finding the Fourth Proportional to 514,915.83, 771,368.16 and 244,659.33

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Solution

The fourth proportional to 514,915.83, 771,368.16 and 244,659.33 is: 366,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,915.83 : 771,368.16 = 244,659.33 : x
  2. Step 2: Convert to fraction form
    514,915.83/771,368.16 = 244,659.33/x
  3. Step 3: Cross multiply
    514,915.83x = 771,368.16 × 244,659.33
  4. Step 4: Simplify right side
    514,915.83x = 188,722,417,208.93
  5. Step 5: Solve for x
    x = 188,722,417,208.93/514,915.83
  6. Step 6: Final answer
    x = 366,511.20

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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.