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Finding the Fourth Proportional to 600,235.82, 900,171.93 and 315,769.49

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Solution

The fourth proportional to 600,235.82, 900,171.93 and 315,769.49 is: 473,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,235.82 : 900,171.93 = 315,769.49 : x
  2. Step 2: Convert to fraction form
    600,235.82/900,171.93 = 315,769.49/x
  3. Step 3: Cross multiply
    600,235.82x = 900,171.93 × 315,769.49
  4. Step 4: Simplify right side
    600,235.82x = 284,246,831,307.34
  5. Step 5: Solve for x
    x = 284,246,831,307.34/600,235.82
  6. Step 6: Final answer
    x = 473,558.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.