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Finding the Fourth Proportional to 609,054.42, 840,301.84 and 354,356.40

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Solution

The fourth proportional to 609,054.42, 840,301.84 and 354,356.40 is: 488,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,054.42 : 840,301.84 = 354,356.40 : x
  2. Step 2: Convert to fraction form
    609,054.42/840,301.84 = 354,356.40/x
  3. Step 3: Cross multiply
    609,054.42x = 840,301.84 × 354,356.40
  4. Step 4: Simplify right side
    609,054.42x = 297,766,334,935.78
  5. Step 5: Solve for x
    x = 297,766,334,935.78/609,054.42
  6. Step 6: Final answer
    x = 488,899.39

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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.