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Finding the Fourth Proportional to 633,508.31, 874,241.62 and 347,038.58

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Solution

The fourth proportional to 633,508.31, 874,241.62 and 347,038.58 is: 478,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,508.31 : 874,241.62 = 347,038.58 : x
  2. Step 2: Convert to fraction form
    633,508.31/874,241.62 = 347,038.58/x
  3. Step 3: Cross multiply
    633,508.31x = 874,241.62 × 347,038.58
  4. Step 4: Simplify right side
    633,508.31x = 303,395,570,381.70
  5. Step 5: Solve for x
    x = 303,395,570,381.70/633,508.31
  6. Step 6: Final answer
    x = 478,913.32

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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.