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Finding the Fourth Proportional to 652,295.80, 978,443.70 and 416,099.80

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Solution

The fourth proportional to 652,295.80, 978,443.70 and 416,099.80 is: 624,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,295.80 : 978,443.70 = 416,099.80 : x
  2. Step 2: Convert to fraction form
    652,295.80/978,443.70 = 416,099.80/x
  3. Step 3: Cross multiply
    652,295.80x = 978,443.70 × 416,099.80
  4. Step 4: Simplify right side
    652,295.80x = 407,130,227,881.26
  5. Step 5: Solve for x
    x = 407,130,227,881.26/652,295.80
  6. Step 6: Final answer
    x = 624,149.70

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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.