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Finding the Fourth Proportional to 514,838.44, 772,255.23 and 130,587.40

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Solution

The fourth proportional to 514,838.44, 772,255.23 and 130,587.40 is: 195,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,838.44 : 772,255.23 = 130,587.40 : x
  2. Step 2: Convert to fraction form
    514,838.44/772,255.23 = 130,587.40/x
  3. Step 3: Cross multiply
    514,838.44x = 772,255.23 × 130,587.40
  4. Step 4: Simplify right side
    514,838.44x = 100,846,802,622.10
  5. Step 5: Solve for x
    x = 100,846,802,622.10/514,838.44
  6. Step 6: Final answer
    x = 195,880.48

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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.