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Finding the Fourth Proportional to 287,809.40, 431,714.10 and 217,825.40

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Solution

The fourth proportional to 287,809.40, 431,714.10 and 217,825.40 is: 326,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,809.40 : 431,714.10 = 217,825.40 : x
  2. Step 2: Convert to fraction form
    287,809.40/431,714.10 = 217,825.40/x
  3. Step 3: Cross multiply
    287,809.40x = 431,714.10 × 217,825.40
  4. Step 4: Simplify right side
    287,809.40x = 94,038,296,518.14
  5. Step 5: Solve for x
    x = 94,038,296,518.14/287,809.40
  6. Step 6: Final answer
    x = 326,738.10

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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.