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Finding the Fourth Proportional to 610,420.34, 842,375.84 and 338,488.40

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Solution

The fourth proportional to 610,420.34, 842,375.84 and 338,488.40 is: 467,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,420.34 : 842,375.84 = 338,488.40 : x
  2. Step 2: Convert to fraction form
    610,420.34/842,375.84 = 338,488.40/x
  3. Step 3: Cross multiply
    610,420.34x = 842,375.84 × 338,488.40
  4. Step 4: Simplify right side
    610,420.34x = 285,134,450,280.26
  5. Step 5: Solve for x
    x = 285,134,450,280.26/610,420.34
  6. Step 6: Final answer
    x = 467,111.65

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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.