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Finding the Fourth Proportional to 957,314.84, 1,436,143.02 and 317,657

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Solution

The fourth proportional to 957,314.84, 1,436,143.02 and 317,657 is: 476,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,314.84 : 1,436,143.02 = 317,657 : x
  2. Step 2: Convert to fraction form
    957,314.84/1,436,143.02 = 317,657/x
  3. Step 3: Cross multiply
    957,314.84x = 1,436,143.02 × 317,657
  4. Step 4: Simplify right side
    957,314.84x = 456,200,883,304.14
  5. Step 5: Solve for x
    x = 456,200,883,304.14/957,314.84
  6. Step 6: Final answer
    x = 476,542.16

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Why These Related Problems?

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