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Finding the Fourth Proportional to 489,801.40, 735,134.10 and 289,871.80

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Solution

The fourth proportional to 489,801.40, 735,134.10 and 289,871.80 is: 435,063.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,801.40 : 735,134.10 = 289,871.80 : x
  2. Step 2: Convert to fraction form
    489,801.40/735,134.10 = 289,871.80/x
  3. Step 3: Cross multiply
    489,801.40x = 735,134.10 × 289,871.80
  4. Step 4: Simplify right side
    489,801.40x = 213,094,644,808.38
  5. Step 5: Solve for x
    x = 213,094,644,808.38/489,801.40
  6. Step 6: Final answer
    x = 435,063.36

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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.