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Finding the Fourth Proportional to 960,084, 1,324,915.92 and 536,148

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Solution

The fourth proportional to 960,084, 1,324,915.92 and 536,148 is: 739,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,084 : 1,324,915.92 = 536,148 : x
  2. Step 2: Convert to fraction form
    960,084/1,324,915.92 = 536,148/x
  3. Step 3: Cross multiply
    960,084x = 1,324,915.92 × 536,148
  4. Step 4: Simplify right side
    960,084x = 710,351,020,676.16
  5. Step 5: Solve for x
    x = 710,351,020,676.16/960,084
  6. Step 6: Final answer
    x = 739,884.24

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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.