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Finding the Fourth Proportional to 378,085.60, 567,128.40 and 283,607.20

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Solution

The fourth proportional to 378,085.60, 567,128.40 and 283,607.20 is: 425,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,085.60 : 567,128.40 = 283,607.20 : x
  2. Step 2: Convert to fraction form
    378,085.60/567,128.40 = 283,607.20/x
  3. Step 3: Cross multiply
    378,085.60x = 567,128.40 × 283,607.20
  4. Step 4: Simplify right side
    378,085.60x = 160,841,697,564.48
  5. Step 5: Solve for x
    x = 160,841,697,564.48/378,085.60
  6. Step 6: Final answer
    x = 425,410.80

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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.