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Finding the Fourth Proportional to 340,885.40, 511,328.10 and 288,397.40

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Solution

The fourth proportional to 340,885.40, 511,328.10 and 288,397.40 is: 432,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,885.40 : 511,328.10 = 288,397.40 : x
  2. Step 2: Convert to fraction form
    340,885.40/511,328.10 = 288,397.40/x
  3. Step 3: Cross multiply
    340,885.40x = 511,328.10 × 288,397.40
  4. Step 4: Simplify right side
    340,885.40x = 147,465,694,586.94
  5. Step 5: Solve for x
    x = 147,465,694,586.94/340,885.40
  6. Step 6: Final answer
    x = 432,596.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.