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Finding the Fourth Proportional to 746,431, 1,030,442.52 and 517,162.12

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Solution

The fourth proportional to 746,431, 1,030,442.52 and 517,162.12 is: 713,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,431 : 1,030,442.52 = 517,162.12 : x
  2. Step 2: Convert to fraction form
    746,431/1,030,442.52 = 517,162.12/x
  3. Step 3: Cross multiply
    746,431x = 1,030,442.52 × 517,162.12
  4. Step 4: Simplify right side
    746,431x = 532,905,838,181.34
  5. Step 5: Solve for x
    x = 532,905,838,181.34/746,431
  6. Step 6: Final answer
    x = 713,938.51

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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.