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Finding the Fourth Proportional to 514,753.92, 768,610.08 and 461,099.52

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Solution

The fourth proportional to 514,753.92, 768,610.08 and 461,099.52 is: 688,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,753.92 : 768,610.08 = 461,099.52 : x
  2. Step 2: Convert to fraction form
    514,753.92/768,610.08 = 461,099.52/x
  3. Step 3: Cross multiply
    514,753.92x = 768,610.08 × 461,099.52
  4. Step 4: Simplify right side
    514,753.92x = 354,405,738,955.16
  5. Step 5: Solve for x
    x = 354,405,738,955.16/514,753.92
  6. Step 6: Final answer
    x = 688,495.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.