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Finding the Fourth Proportional to 378,548.60, 567,822.90 and 310,897.40

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Solution

The fourth proportional to 378,548.60, 567,822.90 and 310,897.40 is: 466,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,548.60 : 567,822.90 = 310,897.40 : x
  2. Step 2: Convert to fraction form
    378,548.60/567,822.90 = 310,897.40/x
  3. Step 3: Cross multiply
    378,548.60x = 567,822.90 × 310,897.40
  4. Step 4: Simplify right side
    378,548.60x = 176,534,663,270.46
  5. Step 5: Solve for x
    x = 176,534,663,270.46/378,548.60
  6. Step 6: Final answer
    x = 466,346.10

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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.