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Finding the Fourth Proportional to 648,003.80, 972,005.70 and 448,268.60

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Solution

The fourth proportional to 648,003.80, 972,005.70 and 448,268.60 is: 672,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,003.80 : 972,005.70 = 448,268.60 : x
  2. Step 2: Convert to fraction form
    648,003.80/972,005.70 = 448,268.60/x
  3. Step 3: Cross multiply
    648,003.80x = 972,005.70 × 448,268.60
  4. Step 4: Simplify right side
    648,003.80x = 435,719,634,331.02
  5. Step 5: Solve for x
    x = 435,719,634,331.02/648,003.80
  6. Step 6: Final answer
    x = 672,402.90

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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.