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Finding the Fourth Proportional to 609,584, 841,226.24 and 341,317.76

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Solution

The fourth proportional to 609,584, 841,226.24 and 341,317.76 is: 471,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,584 : 841,226.24 = 341,317.76 : x
  2. Step 2: Convert to fraction form
    609,584/841,226.24 = 341,317.76/x
  3. Step 3: Cross multiply
    609,584x = 841,226.24 × 341,317.76
  4. Step 4: Simplify right side
    609,584x = 287,125,455,890.02
  5. Step 5: Solve for x
    x = 287,125,455,890.02/609,584
  6. Step 6: Final answer
    x = 471,018.69

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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.