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Finding the Fourth Proportional to 282,776.70, 423,854.01 and 116,473.98

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Solution

The fourth proportional to 282,776.70, 423,854.01 and 116,473.98 is: 174,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,776.70 : 423,854.01 = 116,473.98 : x
  2. Step 2: Convert to fraction form
    282,776.70/423,854.01 = 116,473.98/x
  3. Step 3: Cross multiply
    282,776.70x = 423,854.01 × 116,473.98
  4. Step 4: Simplify right side
    282,776.70x = 49,367,963,483.66
  5. Step 5: Solve for x
    x = 49,367,963,483.66/282,776.70
  6. Step 6: Final answer
    x = 174,582.85

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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.