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Finding the Fourth Proportional to 295,488.40, 442,973.40 and 177,206.80

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Solution

The fourth proportional to 295,488.40, 442,973.40 and 177,206.80 is: 265,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,488.40 : 442,973.40 = 177,206.80 : x
  2. Step 2: Convert to fraction form
    295,488.40/442,973.40 = 177,206.80/x
  3. Step 3: Cross multiply
    295,488.40x = 442,973.40 × 177,206.80
  4. Step 4: Simplify right side
    295,488.40x = 78,497,898,699.12
  5. Step 5: Solve for x
    x = 78,497,898,699.12/295,488.40
  6. Step 6: Final answer
    x = 265,654.76

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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.