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Finding the Fourth Proportional to 328,548.32, 490,445.80 and 288,690.40

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Solution

The fourth proportional to 328,548.32, 490,445.80 and 288,690.40 is: 430,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,548.32 : 490,445.80 = 288,690.40 : x
  2. Step 2: Convert to fraction form
    328,548.32/490,445.80 = 288,690.40/x
  3. Step 3: Cross multiply
    328,548.32x = 490,445.80 × 288,690.40
  4. Step 4: Simplify right side
    328,548.32x = 141,586,994,180.32
  5. Step 5: Solve for x
    x = 141,586,994,180.32/328,548.32
  6. Step 6: Final answer
    x = 430,947.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.