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Finding the Fourth Proportional to 651,231.60, 978,013.80 and 473,938.80

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Solution

The fourth proportional to 651,231.60, 978,013.80 and 473,938.80 is: 711,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,231.60 : 978,013.80 = 473,938.80 : x
  2. Step 2: Convert to fraction form
    651,231.60/978,013.80 = 473,938.80/x
  3. Step 3: Cross multiply
    651,231.60x = 978,013.80 × 473,938.80
  4. Step 4: Simplify right side
    651,231.60x = 463,518,686,755.44
  5. Step 5: Solve for x
    x = 463,518,686,755.44/651,231.60
  6. Step 6: Final answer
    x = 711,757.06

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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.