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Finding the Fourth Proportional to 512,002.14, 767,430.95 and 191,846.00

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Solution

The fourth proportional to 512,002.14, 767,430.95 and 191,846.00 is: 287,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,002.14 : 767,430.95 = 191,846.00 : x
  2. Step 2: Convert to fraction form
    512,002.14/767,430.95 = 191,846.00/x
  3. Step 3: Cross multiply
    512,002.14x = 767,430.95 × 191,846.00
  4. Step 4: Simplify right side
    512,002.14x = 147,228,553,237.32
  5. Step 5: Solve for x
    x = 147,228,553,237.32/512,002.14
  6. Step 6: Final answer
    x = 287,554.57

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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.