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Finding the Fourth Proportional to 652,263.80, 978,395.70 and 178,948.40

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Solution

The fourth proportional to 652,263.80, 978,395.70 and 178,948.40 is: 268,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,263.80 : 978,395.70 = 178,948.40 : x
  2. Step 2: Convert to fraction form
    652,263.80/978,395.70 = 178,948.40/x
  3. Step 3: Cross multiply
    652,263.80x = 978,395.70 × 178,948.40
  4. Step 4: Simplify right side
    652,263.80x = 175,082,345,081.88
  5. Step 5: Solve for x
    x = 175,082,345,081.88/652,263.80
  6. Step 6: Final answer
    x = 268,422.60

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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.