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Finding the Fourth Proportional to 502,100.24, 692,897.50 and 275,745.74

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Solution

The fourth proportional to 502,100.24, 692,897.50 and 275,745.74 is: 380,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,100.24 : 692,897.50 = 275,745.74 : x
  2. Step 2: Convert to fraction form
    502,100.24/692,897.50 = 275,745.74/x
  3. Step 3: Cross multiply
    502,100.24x = 692,897.50 × 275,745.74
  4. Step 4: Simplify right side
    502,100.24x = 191,063,533,881.65
  5. Step 5: Solve for x
    x = 191,063,533,881.65/502,100.24
  6. Step 6: Final answer
    x = 380,528.66

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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.