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Finding the Fourth Proportional to 282,421.50, 389,644.22 and 180,506.62

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Solution

The fourth proportional to 282,421.50, 389,644.22 and 180,506.62 is: 249,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,421.50 : 389,644.22 = 180,506.62 : x
  2. Step 2: Convert to fraction form
    282,421.50/389,644.22 = 180,506.62/x
  3. Step 3: Cross multiply
    282,421.50x = 389,644.22 × 180,506.62
  4. Step 4: Simplify right side
    282,421.50x = 70,333,361,154.74
  5. Step 5: Solve for x
    x = 70,333,361,154.74/282,421.50
  6. Step 6: Final answer
    x = 249,036.85

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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.