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Finding the Fourth Proportional to 462,138.12, 692,603.24 and 334,484.24

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Solution

The fourth proportional to 462,138.12, 692,603.24 and 334,484.24 is: 501,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,138.12 : 692,603.24 = 334,484.24 : x
  2. Step 2: Convert to fraction form
    462,138.12/692,603.24 = 334,484.24/x
  3. Step 3: Cross multiply
    462,138.12x = 692,603.24 × 334,484.24
  4. Step 4: Simplify right side
    462,138.12x = 231,664,868,352.94
  5. Step 5: Solve for x
    x = 231,664,868,352.94/462,138.12
  6. Step 6: Final answer
    x = 501,289.24

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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.