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Finding the Fourth Proportional to 602,515.36, 831,542.16 and 334,260.64

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Solution

The fourth proportional to 602,515.36, 831,542.16 and 334,260.64 is: 461,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,515.36 : 831,542.16 = 334,260.64 : x
  2. Step 2: Convert to fraction form
    602,515.36/831,542.16 = 334,260.64/x
  3. Step 3: Cross multiply
    602,515.36x = 831,542.16 × 334,260.64
  4. Step 4: Simplify right side
    602,515.36x = 277,951,814,588.58
  5. Step 5: Solve for x
    x = 277,951,814,588.58/602,515.36
  6. Step 6: Final answer
    x = 461,319.05

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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.