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Finding the Fourth Proportional to 317,681.64, 476,522.63 and 199,436.02

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Solution

The fourth proportional to 317,681.64, 476,522.63 and 199,436.02 is: 299,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,681.64 : 476,522.63 = 199,436.02 : x
  2. Step 2: Convert to fraction form
    317,681.64/476,522.63 = 199,436.02/x
  3. Step 3: Cross multiply
    317,681.64x = 476,522.63 × 199,436.02
  4. Step 4: Simplify right side
    317,681.64x = 95,035,776,767.13
  5. Step 5: Solve for x
    x = 95,035,776,767.13/317,681.64
  6. Step 6: Final answer
    x = 299,154.14

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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.