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Finding the Fourth Proportional to 652,136.70, 978,205.05 and 402,959.10

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Solution

The fourth proportional to 652,136.70, 978,205.05 and 402,959.10 is: 604,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,136.70 : 978,205.05 = 402,959.10 : x
  2. Step 2: Convert to fraction form
    652,136.70/978,205.05 = 402,959.10/x
  3. Step 3: Cross multiply
    652,136.70x = 978,205.05 × 402,959.10
  4. Step 4: Simplify right side
    652,136.70x = 394,176,626,563.46
  5. Step 5: Solve for x
    x = 394,176,626,563.46/652,136.70
  6. Step 6: Final answer
    x = 604,438.65

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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.