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Finding the Fourth Proportional to 502,101.15, 692,915.54 and 275,746.65

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Solution

The fourth proportional to 502,101.15, 692,915.54 and 275,746.65 is: 380,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,101.15 : 692,915.54 = 275,746.65 : x
  2. Step 2: Convert to fraction form
    502,101.15/692,915.54 = 275,746.65/x
  3. Step 3: Cross multiply
    502,101.15x = 692,915.54 × 275,746.65
  4. Step 4: Simplify right side
    502,101.15x = 191,069,138,887.94
  5. Step 5: Solve for x
    x = 191,069,138,887.94/502,101.15
  6. Step 6: Final answer
    x = 380,539.14

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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.