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Finding the Fourth Proportional to 473,113.40, 709,763.52 and 173,596.44

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Solution

The fourth proportional to 473,113.40, 709,763.52 and 173,596.44 is: 260,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,113.40 : 709,763.52 = 173,596.44 : x
  2. Step 2: Convert to fraction form
    473,113.40/709,763.52 = 173,596.44/x
  3. Step 3: Cross multiply
    473,113.40x = 709,763.52 × 173,596.44
  4. Step 4: Simplify right side
    473,113.40x = 123,212,420,313.87
  5. Step 5: Solve for x
    x = 123,212,420,313.87/473,113.40
  6. Step 6: Final answer
    x = 260,428.94

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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.