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Finding the Fourth Proportional to 317,453.98, 438,106.17 and 209,837.38

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Solution

The fourth proportional to 317,453.98, 438,106.17 and 209,837.38 is: 289,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,453.98 : 438,106.17 = 209,837.38 : x
  2. Step 2: Convert to fraction form
    317,453.98/438,106.17 = 209,837.38/x
  3. Step 3: Cross multiply
    317,453.98x = 438,106.17 × 209,837.38
  4. Step 4: Simplify right side
    317,453.98x = 91,931,050,566.26
  5. Step 5: Solve for x
    x = 91,931,050,566.26/317,453.98
  6. Step 6: Final answer
    x = 289,588.59

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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.