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Finding the Fourth Proportional to 298,973.63, 448,462.06 and 77,357.63

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Solution

The fourth proportional to 298,973.63, 448,462.06 and 77,357.63 is: 116,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,973.63 : 448,462.06 = 77,357.63 : x
  2. Step 2: Convert to fraction form
    298,973.63/448,462.06 = 77,357.63/x
  3. Step 3: Cross multiply
    298,973.63x = 448,462.06 × 77,357.63
  4. Step 4: Simplify right side
    298,973.63x = 34,691,959,670.81
  5. Step 5: Solve for x
    x = 34,691,959,670.81/298,973.63
  6. Step 6: Final answer
    x = 116,036.86

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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.