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Finding the Fourth Proportional to 502,153.29, 692,971.50 and 275,798.79

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Solution

The fourth proportional to 502,153.29, 692,971.50 and 275,798.79 is: 380,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,153.29 : 692,971.50 = 275,798.79 : x
  2. Step 2: Convert to fraction form
    502,153.29/692,971.50 = 275,798.79/x
  3. Step 3: Cross multiply
    502,153.29x = 692,971.50 × 275,798.79
  4. Step 4: Simplify right side
    502,153.29x = 191,120,701,204.49
  5. Step 5: Solve for x
    x = 191,120,701,204.49/502,153.29
  6. Step 6: Final answer
    x = 380,602.31

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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.