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Finding the Fourth Proportional to 317,357.04, 437,938.20 and 174,114.12

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Solution

The fourth proportional to 317,357.04, 437,938.20 and 174,114.12 is: 240,269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,357.04 : 437,938.20 = 174,114.12 : x
  2. Step 2: Convert to fraction form
    317,357.04/437,938.20 = 174,114.12/x
  3. Step 3: Cross multiply
    317,357.04x = 437,938.20 × 174,114.12
  4. Step 4: Simplify right side
    317,357.04x = 76,251,224,307.38
  5. Step 5: Solve for x
    x = 76,251,224,307.38/317,357.04
  6. Step 6: Final answer
    x = 240,269.52

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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.