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Finding the Fourth Proportional to 473,034.81, 709,645.69 and 173,518.18

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Solution

The fourth proportional to 473,034.81, 709,645.69 and 173,518.18 is: 260,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,034.81 : 709,645.69 = 173,518.18 : x
  2. Step 2: Convert to fraction form
    473,034.81/709,645.69 = 173,518.18/x
  3. Step 3: Cross multiply
    473,034.81x = 709,645.69 × 173,518.18
  4. Step 4: Simplify right side
    473,034.81x = 123,136,428,573.64
  5. Step 5: Solve for x
    x = 123,136,428,573.64/473,034.81
  6. Step 6: Final answer
    x = 260,311.56

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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.