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Finding the Fourth Proportional to 282,544, 424,010.40 and 116,332

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Solution

The fourth proportional to 282,544, 424,010.40 and 116,332 is: 174,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,544 : 424,010.40 = 116,332 : x
  2. Step 2: Convert to fraction form
    282,544/424,010.40 = 116,332/x
  3. Step 3: Cross multiply
    282,544x = 424,010.40 × 116,332
  4. Step 4: Simplify right side
    282,544x = 49,325,977,852.80
  5. Step 5: Solve for x
    x = 49,325,977,852.80/282,544
  6. Step 6: Final answer
    x = 174,578.04

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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.