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Finding the Fourth Proportional to 294,895, 442,342.50 and 97,903

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Solution

The fourth proportional to 294,895, 442,342.50 and 97,903 is: 146,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,895 : 442,342.50 = 97,903 : x
  2. Step 2: Convert to fraction form
    294,895/442,342.50 = 97,903/x
  3. Step 3: Cross multiply
    294,895x = 442,342.50 × 97,903
  4. Step 4: Simplify right side
    294,895x = 43,306,657,777.50
  5. Step 5: Solve for x
    x = 43,306,657,777.50/294,895
  6. Step 6: Final answer
    x = 146,854.50

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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.