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Finding the Fourth Proportional to 364,122.50, 502,283.24 and 227,920.02

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Solution

The fourth proportional to 364,122.50, 502,283.24 and 227,920.02 is: 314,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,122.50 : 502,283.24 = 227,920.02 : x
  2. Step 2: Convert to fraction form
    364,122.50/502,283.24 = 227,920.02/x
  3. Step 3: Cross multiply
    364,122.50x = 502,283.24 × 227,920.02
  4. Step 4: Simplify right side
    364,122.50x = 114,480,406,106.47
  5. Step 5: Solve for x
    x = 114,480,406,106.47/364,122.50
  6. Step 6: Final answer
    x = 314,400.80

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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.