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Finding the Fourth Proportional to 652,878.70, 978,005.85 and 440,302.30

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Solution

The fourth proportional to 652,878.70, 978,005.85 and 440,302.30 is: 659,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,878.70 : 978,005.85 = 440,302.30 : x
  2. Step 2: Convert to fraction form
    652,878.70/978,005.85 = 440,302.30/x
  3. Step 3: Cross multiply
    652,878.70x = 978,005.85 × 440,302.30
  4. Step 4: Simplify right side
    652,878.70x = 430,618,225,168.46
  5. Step 5: Solve for x
    x = 430,618,225,168.46/652,878.70
  6. Step 6: Final answer
    x = 659,568.50

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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.