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Finding the Fourth Proportional to 317,283.84, 437,857.52 and 174,051.20

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Solution

The fourth proportional to 317,283.84, 437,857.52 and 174,051.20 is: 240,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,283.84 : 437,857.52 = 174,051.20 : x
  2. Step 2: Convert to fraction form
    317,283.84/437,857.52 = 174,051.20/x
  3. Step 3: Cross multiply
    317,283.84x = 437,857.52 × 174,051.20
  4. Step 4: Simplify right side
    317,283.84x = 76,209,626,785.02
  5. Step 5: Solve for x
    x = 76,209,626,785.02/317,283.84
  6. Step 6: Final answer
    x = 240,193.85

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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.