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Finding the Fourth Proportional to 978,098.70, 1,467,148.05 and 446,657.70

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Solution

The fourth proportional to 978,098.70, 1,467,148.05 and 446,657.70 is: 669,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,098.70 : 1,467,148.05 = 446,657.70 : x
  2. Step 2: Convert to fraction form
    978,098.70/1,467,148.05 = 446,657.70/x
  3. Step 3: Cross multiply
    978,098.70x = 1,467,148.05 × 446,657.70
  4. Step 4: Simplify right side
    978,098.70x = 655,312,973,572.49
  5. Step 5: Solve for x
    x = 655,312,973,572.49/978,098.70
  6. Step 6: Final answer
    x = 669,986.55

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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.