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Finding the Fourth Proportional to 319,141.37, 478,713.63 and 94,506.05

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Solution

The fourth proportional to 319,141.37, 478,713.63 and 94,506.05 is: 141,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,141.37 : 478,713.63 = 94,506.05 : x
  2. Step 2: Convert to fraction form
    319,141.37/478,713.63 = 94,506.05/x
  3. Step 3: Cross multiply
    319,141.37x = 478,713.63 × 94,506.05
  4. Step 4: Simplify right side
    319,141.37x = 45,241,334,252.46
  5. Step 5: Solve for x
    x = 45,241,334,252.46/319,141.37
  6. Step 6: Final answer
    x = 141,759.54

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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.