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Finding the Fourth Proportional to 652,275.30, 978,412.95 and 416,079.30

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Solution

The fourth proportional to 652,275.30, 978,412.95 and 416,079.30 is: 624,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,275.30 : 978,412.95 = 416,079.30 : x
  2. Step 2: Convert to fraction form
    652,275.30/978,412.95 = 416,079.30/x
  3. Step 3: Cross multiply
    652,275.30x = 978,412.95 × 416,079.30
  4. Step 4: Simplify right side
    652,275.30x = 407,097,375,346.94
  5. Step 5: Solve for x
    x = 407,097,375,346.94/652,275.30
  6. Step 6: Final answer
    x = 624,118.95

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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.