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Finding the Fourth Proportional to 489,304.52, 733,354.35 and 233,271.98

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Solution

The fourth proportional to 489,304.52, 733,354.35 and 233,271.98 is: 349,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,304.52 : 733,354.35 = 233,271.98 : x
  2. Step 2: Convert to fraction form
    489,304.52/733,354.35 = 233,271.98/x
  3. Step 3: Cross multiply
    489,304.52x = 733,354.35 × 233,271.98
  4. Step 4: Simplify right side
    489,304.52x = 171,071,021,266.11
  5. Step 5: Solve for x
    x = 171,071,021,266.11/489,304.52
  6. Step 6: Final answer
    x = 349,620.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.