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Finding the Fourth Proportional to 317,216, 437,758.08 and 175,904

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Solution

The fourth proportional to 317,216, 437,758.08 and 175,904 is: 242,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,216 : 437,758.08 = 175,904 : x
  2. Step 2: Convert to fraction form
    317,216/437,758.08 = 175,904/x
  3. Step 3: Cross multiply
    317,216x = 437,758.08 × 175,904
  4. Step 4: Simplify right side
    317,216x = 77,003,397,304.32
  5. Step 5: Solve for x
    x = 77,003,397,304.32/317,216
  6. Step 6: Final answer
    x = 242,747.52

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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.