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Finding the Fourth Proportional to 282,710.66, 424,022.24 and 183,573.95

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Solution

The fourth proportional to 282,710.66, 424,022.24 and 183,573.95 is: 275,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,710.66 : 424,022.24 = 183,573.95 : x
  2. Step 2: Convert to fraction form
    282,710.66/424,022.24 = 183,573.95/x
  3. Step 3: Cross multiply
    282,710.66x = 424,022.24 × 183,573.95
  4. Step 4: Simplify right side
    282,710.66x = 77,839,435,823.47
  5. Step 5: Solve for x
    x = 77,839,435,823.47/282,710.66
  6. Step 6: Final answer
    x = 275,332.52

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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.