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Finding the Fourth Proportional to 652,057.20, 978,661.80 and 385,484.40

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Solution

The fourth proportional to 652,057.20, 978,661.80 and 385,484.40 is: 578,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,057.20 : 978,661.80 = 385,484.40 : x
  2. Step 2: Convert to fraction form
    652,057.20/978,661.80 = 385,484.40/x
  3. Step 3: Cross multiply
    652,057.20x = 978,661.80 × 385,484.40
  4. Step 4: Simplify right side
    652,057.20x = 377,258,856,775.92
  5. Step 5: Solve for x
    x = 377,258,856,775.92/652,057.20
  6. Step 6: Final answer
    x = 578,567.12

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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.