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Finding the Fourth Proportional to 301,345.38, 415,820.70 and 178,818.30

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Solution

The fourth proportional to 301,345.38, 415,820.70 and 178,818.30 is: 246,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,345.38 : 415,820.70 = 178,818.30 : x
  2. Step 2: Convert to fraction form
    301,345.38/415,820.70 = 178,818.30/x
  3. Step 3: Cross multiply
    301,345.38x = 415,820.70 × 178,818.30
  4. Step 4: Simplify right side
    301,345.38x = 74,356,350,678.81
  5. Step 5: Solve for x
    x = 74,356,350,678.81/301,345.38
  6. Step 6: Final answer
    x = 246,747.94

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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.