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Finding the Fourth Proportional to 370,046.22, 510,660.14 and 208,897.80

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Solution

The fourth proportional to 370,046.22, 510,660.14 and 208,897.80 is: 288,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,046.22 : 510,660.14 = 208,897.80 : x
  2. Step 2: Convert to fraction form
    370,046.22/510,660.14 = 208,897.80/x
  3. Step 3: Cross multiply
    370,046.22x = 510,660.14 × 208,897.80
  4. Step 4: Simplify right side
    370,046.22x = 106,675,779,793.69
  5. Step 5: Solve for x
    x = 106,675,779,793.69/370,046.22
  6. Step 6: Final answer
    x = 288,276.91

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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.