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Finding the Fourth Proportional to 502,065.33, 692,854.62 and 275,712.45

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Solution

The fourth proportional to 502,065.33, 692,854.62 and 275,712.45 is: 380,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,065.33 : 692,854.62 = 275,712.45 : x
  2. Step 2: Convert to fraction form
    502,065.33/692,854.62 = 275,712.45/x
  3. Step 3: Cross multiply
    502,065.33x = 692,854.62 × 275,712.45
  4. Step 4: Simplify right side
    502,065.33x = 191,028,644,774.02
  5. Step 5: Solve for x
    x = 191,028,644,774.02/502,065.33
  6. Step 6: Final answer
    x = 380,485.63

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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.