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Finding the Fourth Proportional to 653,484.06, 978,116.85 and 337,506.30

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Solution

The fourth proportional to 653,484.06, 978,116.85 and 337,506.30 is: 505,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,484.06 : 978,116.85 = 337,506.30 : x
  2. Step 2: Convert to fraction form
    653,484.06/978,116.85 = 337,506.30/x
  3. Step 3: Cross multiply
    653,484.06x = 978,116.85 × 337,506.30
  4. Step 4: Simplify right side
    653,484.06x = 330,120,599,011.16
  5. Step 5: Solve for x
    x = 330,120,599,011.16/653,484.06
  6. Step 6: Final answer
    x = 505,170.09

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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.