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Finding the Fourth Proportional to 430,910.74, 646,365.40 and 430,287.44

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Solution

The fourth proportional to 430,910.74, 646,365.40 and 430,287.44 is: 645,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,910.74 : 646,365.40 = 430,287.44 : x
  2. Step 2: Convert to fraction form
    430,910.74/646,365.40 = 430,287.44/x
  3. Step 3: Cross multiply
    430,910.74x = 646,365.40 × 430,287.44
  4. Step 4: Simplify right side
    430,910.74x = 278,122,913,270.58
  5. Step 5: Solve for x
    x = 278,122,913,270.58/430,910.74
  6. Step 6: Final answer
    x = 645,430.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.