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Finding the Fourth Proportional to 609,788.50, 841,508.13 and 341,516.50

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Solution

The fourth proportional to 609,788.50, 841,508.13 and 341,516.50 is: 471,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,788.50 : 841,508.13 = 341,516.50 : x
  2. Step 2: Convert to fraction form
    609,788.50/841,508.13 = 341,516.50/x
  3. Step 3: Cross multiply
    609,788.50x = 841,508.13 × 341,516.50
  4. Step 4: Simplify right side
    609,788.50x = 287,388,911,279.15
  5. Step 5: Solve for x
    x = 287,388,911,279.15/609,788.50
  6. Step 6: Final answer
    x = 471,292.77

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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.