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Finding the Fourth Proportional to 462,024.60, 692,737.20 and 195,712.80

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Solution

The fourth proportional to 462,024.60, 692,737.20 and 195,712.80 is: 293,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,024.60 : 692,737.20 = 195,712.80 : x
  2. Step 2: Convert to fraction form
    462,024.60/692,737.20 = 195,712.80/x
  3. Step 3: Cross multiply
    462,024.60x = 692,737.20 × 195,712.80
  4. Step 4: Simplify right side
    462,024.60x = 135,577,537,076.16
  5. Step 5: Solve for x
    x = 135,577,537,076.16/462,024.60
  6. Step 6: Final answer
    x = 293,442.25

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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.