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Finding the Fourth Proportional to 355,709.49, 533,565.14 and 145,347.43

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Solution

The fourth proportional to 355,709.49, 533,565.14 and 145,347.43 is: 218,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,709.49 : 533,565.14 = 145,347.43 : x
  2. Step 2: Convert to fraction form
    355,709.49/533,565.14 = 145,347.43/x
  3. Step 3: Cross multiply
    355,709.49x = 533,565.14 × 145,347.43
  4. Step 4: Simplify right side
    355,709.49x = 77,552,321,836.59
  5. Step 5: Solve for x
    x = 77,552,321,836.59/355,709.49
  6. Step 6: Final answer
    x = 218,021.51

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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.