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Finding the Fourth Proportional to 282,858.98, 390,359.42 and 175,463.61

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Solution

The fourth proportional to 282,858.98, 390,359.42 and 175,463.61 is: 242,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,858.98 : 390,359.42 = 175,463.61 : x
  2. Step 2: Convert to fraction form
    282,858.98/390,359.42 = 175,463.61/x
  3. Step 3: Cross multiply
    282,858.98x = 390,359.42 × 175,463.61
  4. Step 4: Simplify right side
    282,858.98x = 68,493,873,030.71
  5. Step 5: Solve for x
    x = 68,493,873,030.71/282,858.98
  6. Step 6: Final answer
    x = 242,148.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.