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Finding the Fourth Proportional to 382,362, 527,444.34 and 229,359.48

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Solution

The fourth proportional to 382,362, 527,444.34 and 229,359.48 is: 316,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,362 : 527,444.34 = 229,359.48 : x
  2. Step 2: Convert to fraction form
    382,362/527,444.34 = 229,359.48/x
  3. Step 3: Cross multiply
    382,362x = 527,444.34 × 229,359.48
  4. Step 4: Simplify right side
    382,362x = 120,974,359,551.34
  5. Step 5: Solve for x
    x = 120,974,359,551.34/382,362
  6. Step 6: Final answer
    x = 316,386.98

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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.