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Finding the Fourth Proportional to 314,041.52, 433,279.50 and 178,064.80

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Solution

The fourth proportional to 314,041.52, 433,279.50 and 178,064.80 is: 245,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,041.52 : 433,279.50 = 178,064.80 : x
  2. Step 2: Convert to fraction form
    314,041.52/433,279.50 = 178,064.80/x
  3. Step 3: Cross multiply
    314,041.52x = 433,279.50 × 178,064.80
  4. Step 4: Simplify right side
    314,041.52x = 77,151,827,511.60
  5. Step 5: Solve for x
    x = 77,151,827,511.60/314,041.52
  6. Step 6: Final answer
    x = 245,673.97

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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.