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Finding the Fourth Proportional to 310,944.18, 429,097.94 and 174,978.05

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Solution

The fourth proportional to 310,944.18, 429,097.94 and 174,978.05 is: 241,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,944.18 : 429,097.94 = 174,978.05 : x
  2. Step 2: Convert to fraction form
    310,944.18/429,097.94 = 174,978.05/x
  3. Step 3: Cross multiply
    310,944.18x = 429,097.94 × 174,978.05
  4. Step 4: Simplify right side
    310,944.18x = 75,082,717,779.84
  5. Step 5: Solve for x
    x = 75,082,717,779.84/310,944.18
  6. Step 6: Final answer
    x = 241,466.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.