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Finding the Fourth Proportional to 346,422.90, 478,054.28 and 193,456.84

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Solution

The fourth proportional to 346,422.90, 478,054.28 and 193,456.84 is: 266,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,422.90 : 478,054.28 = 193,456.84 : x
  2. Step 2: Convert to fraction form
    346,422.90/478,054.28 = 193,456.84/x
  3. Step 3: Cross multiply
    346,422.90x = 478,054.28 × 193,456.84
  4. Step 4: Simplify right side
    346,422.90x = 92,482,870,357.28
  5. Step 5: Solve for x
    x = 92,482,870,357.28/346,422.90
  6. Step 6: Final answer
    x = 266,965.23

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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.