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Finding the Fourth Proportional to 640,642.74, 884,019.33 and 354,116.58

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Solution

The fourth proportional to 640,642.74, 884,019.33 and 354,116.58 is: 488,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,642.74 : 884,019.33 = 354,116.58 : x
  2. Step 2: Convert to fraction form
    640,642.74/884,019.33 = 354,116.58/x
  3. Step 3: Cross multiply
    640,642.74x = 884,019.33 × 354,116.58
  4. Step 4: Simplify right side
    640,642.74x = 313,045,901,793.49
  5. Step 5: Solve for x
    x = 313,045,901,793.49/640,642.74
  6. Step 6: Final answer
    x = 488,643.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.