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Finding the Fourth Proportional to 978,070.80, 1,464,773.40 and 478,851.60

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Solution

The fourth proportional to 978,070.80, 1,464,773.40 and 478,851.60 is: 717,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,070.80 : 1,464,773.40 = 478,851.60 : x
  2. Step 2: Convert to fraction form
    978,070.80/1,464,773.40 = 478,851.60/x
  3. Step 3: Cross multiply
    978,070.80x = 1,464,773.40 × 478,851.60
  4. Step 4: Simplify right side
    978,070.80x = 701,409,086,227.44
  5. Step 5: Solve for x
    x = 701,409,086,227.44/978,070.80
  6. Step 6: Final answer
    x = 717,135.29

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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.