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Finding the Fourth Proportional to 473,567.71, 709,908.70 and 173,967.85

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Solution

The fourth proportional to 473,567.71, 709,908.70 and 173,967.85 is: 260,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,567.71 : 709,908.70 = 173,967.85 : x
  2. Step 2: Convert to fraction form
    473,567.71/709,908.70 = 173,967.85/x
  3. Step 3: Cross multiply
    473,567.71x = 709,908.70 × 173,967.85
  4. Step 4: Simplify right side
    473,567.71x = 123,501,290,235.30
  5. Step 5: Solve for x
    x = 123,501,290,235.30/473,567.71
  6. Step 6: Final answer
    x = 260,789.09

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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.