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Finding the Fourth Proportional to 282,706.80, 424,254.60 and 116,494.80

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Solution

The fourth proportional to 282,706.80, 424,254.60 and 116,494.80 is: 174,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,706.80 : 424,254.60 = 116,494.80 : x
  2. Step 2: Convert to fraction form
    282,706.80/424,254.60 = 116,494.80/x
  3. Step 3: Cross multiply
    282,706.80x = 424,254.60 × 116,494.80
  4. Step 4: Simplify right side
    282,706.80x = 49,423,454,776.08
  5. Step 5: Solve for x
    x = 49,423,454,776.08/282,706.80
  6. Step 6: Final answer
    x = 174,822.31

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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.