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Finding the Fourth Proportional to 506,324, 758,989.20 and 281,792

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Solution

The fourth proportional to 506,324, 758,989.20 and 281,792 is: 422,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,324 : 758,989.20 = 281,792 : x
  2. Step 2: Convert to fraction form
    506,324/758,989.20 = 281,792/x
  3. Step 3: Cross multiply
    506,324x = 758,989.20 × 281,792
  4. Step 4: Simplify right side
    506,324x = 213,877,084,646.40
  5. Step 5: Solve for x
    x = 213,877,084,646.40/506,324
  6. Step 6: Final answer
    x = 422,411.51

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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.