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Finding the Fourth Proportional to 314,047.78, 433,376.67 and 178,094.14

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Solution

The fourth proportional to 314,047.78, 433,376.67 and 178,094.14 is: 245,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,047.78 : 433,376.67 = 178,094.14 : x
  2. Step 2: Convert to fraction form
    314,047.78/433,376.67 = 178,094.14/x
  3. Step 3: Cross multiply
    314,047.78x = 433,376.67 × 178,094.14
  4. Step 4: Simplify right side
    314,047.78x = 77,181,845,339.71
  5. Step 5: Solve for x
    x = 77,181,845,339.71/314,047.78
  6. Step 6: Final answer
    x = 245,764.66

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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.