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Finding the Fourth Proportional to 462,509.34, 693,211.77 and 237,977.34

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Solution

The fourth proportional to 462,509.34, 693,211.77 and 237,977.34 is: 356,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,509.34 : 693,211.77 = 237,977.34 : x
  2. Step 2: Convert to fraction form
    462,509.34/693,211.77 = 237,977.34/x
  3. Step 3: Cross multiply
    462,509.34x = 693,211.77 × 237,977.34
  4. Step 4: Simplify right side
    462,509.34x = 164,968,693,081.29
  5. Step 5: Solve for x
    x = 164,968,693,081.29/462,509.34
  6. Step 6: Final answer
    x = 356,681.86

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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.