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Finding the Fourth Proportional to 502,056, 692,842.14 and 275,706.36

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Solution

The fourth proportional to 502,056, 692,842.14 and 275,706.36 is: 380,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,056 : 692,842.14 = 275,706.36 : x
  2. Step 2: Convert to fraction form
    502,056/692,842.14 = 275,706.36/x
  3. Step 3: Cross multiply
    502,056x = 692,842.14 × 275,706.36
  4. Step 4: Simplify right side
    502,056x = 191,020,984,474.01
  5. Step 5: Solve for x
    x = 191,020,984,474.01/502,056
  6. Step 6: Final answer
    x = 380,477.45

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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.