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Finding the Fourth Proportional to 653,284.20, 978,614.10 and 453,829.80

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Solution

The fourth proportional to 653,284.20, 978,614.10 and 453,829.80 is: 679,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,284.20 : 978,614.10 = 453,829.80 : x
  2. Step 2: Convert to fraction form
    653,284.20/978,614.10 = 453,829.80/x
  3. Step 3: Cross multiply
    653,284.20x = 978,614.10 × 453,829.80
  4. Step 4: Simplify right side
    653,284.20x = 444,124,241,280.18
  5. Step 5: Solve for x
    x = 444,124,241,280.18/653,284.20
  6. Step 6: Final answer
    x = 679,833.13

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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.