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Finding the Fourth Proportional to 978,066.80, 1,464,767.40 and 478,847.60

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Solution

The fourth proportional to 978,066.80, 1,464,767.40 and 478,847.60 is: 717,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,066.80 : 1,464,767.40 = 478,847.60 : x
  2. Step 2: Convert to fraction form
    978,066.80/1,464,767.40 = 478,847.60/x
  3. Step 3: Cross multiply
    978,066.80x = 1,464,767.40 × 478,847.60
  4. Step 4: Simplify right side
    978,066.80x = 701,400,354,048.24
  5. Step 5: Solve for x
    x = 701,400,354,048.24/978,066.80
  6. Step 6: Final answer
    x = 717,129.29

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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.