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Finding the Fourth Proportional to 320,329.80, 442,054.98 and 193,030.02

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Solution

The fourth proportional to 320,329.80, 442,054.98 and 193,030.02 is: 266,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,329.80 : 442,054.98 = 193,030.02 : x
  2. Step 2: Convert to fraction form
    320,329.80/442,054.98 = 193,030.02/x
  3. Step 3: Cross multiply
    320,329.80x = 442,054.98 × 193,030.02
  4. Step 4: Simplify right side
    320,329.80x = 85,329,881,630.50
  5. Step 5: Solve for x
    x = 85,329,881,630.50/320,329.80
  6. Step 6: Final answer
    x = 266,381.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.