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Finding the Fourth Proportional to 546,420.40, 819,630.60 and 378,458.80

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Solution

The fourth proportional to 546,420.40, 819,630.60 and 378,458.80 is: 567,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,420.40 : 819,630.60 = 378,458.80 : x
  2. Step 2: Convert to fraction form
    546,420.40/819,630.60 = 378,458.80/x
  3. Step 3: Cross multiply
    546,420.40x = 819,630.60 × 378,458.80
  4. Step 4: Simplify right side
    546,420.40x = 310,196,413,319.28
  5. Step 5: Solve for x
    x = 310,196,413,319.28/546,420.40
  6. Step 6: Final answer
    x = 567,688.20

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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.