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Finding the Fourth Proportional to 282,894.75, 424,367.64 and 72,534.51

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Solution

The fourth proportional to 282,894.75, 424,367.64 and 72,534.51 is: 108,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,894.75 : 424,367.64 = 72,534.51 : x
  2. Step 2: Convert to fraction form
    282,894.75/424,367.64 = 72,534.51/x
  3. Step 3: Cross multiply
    282,894.75x = 424,367.64 × 72,534.51
  4. Step 4: Simplify right side
    282,894.75x = 30,781,298,827.26
  5. Step 5: Solve for x
    x = 30,781,298,827.26/282,894.75
  6. Step 6: Final answer
    x = 108,808.31

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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.