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Finding the Fourth Proportional to 319,036.86, 478,103.76 and 176,944.68

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Solution

The fourth proportional to 319,036.86, 478,103.76 and 176,944.68 is: 265,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,036.86 : 478,103.76 = 176,944.68 : x
  2. Step 2: Convert to fraction form
    319,036.86/478,103.76 = 176,944.68/x
  3. Step 3: Cross multiply
    319,036.86x = 478,103.76 × 176,944.68
  4. Step 4: Simplify right side
    319,036.86x = 84,597,916,820.00
  5. Step 5: Solve for x
    x = 84,597,916,820.00/319,036.86
  6. Step 6: Final answer
    x = 265,166.59

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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.