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Finding the Fourth Proportional to 652,300.80, 978,451.20 and 315,502.80

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Solution

The fourth proportional to 652,300.80, 978,451.20 and 315,502.80 is: 473,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,300.80 : 978,451.20 = 315,502.80 : x
  2. Step 2: Convert to fraction form
    652,300.80/978,451.20 = 315,502.80/x
  3. Step 3: Cross multiply
    652,300.80x = 978,451.20 × 315,502.80
  4. Step 4: Simplify right side
    652,300.80x = 308,704,093,263.36
  5. Step 5: Solve for x
    x = 308,704,093,263.36/652,300.80
  6. Step 6: Final answer
    x = 473,254.20

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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.