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Finding the Fourth Proportional to 447,570.93, 617,661.48 and 316,982.53

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Solution

The fourth proportional to 447,570.93, 617,661.48 and 316,982.53 is: 437,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,570.93 : 617,661.48 = 316,982.53 : x
  2. Step 2: Convert to fraction form
    447,570.93/617,661.48 = 316,982.53/x
  3. Step 3: Cross multiply
    447,570.93x = 617,661.48 × 316,982.53
  4. Step 4: Simplify right side
    447,570.93x = 195,787,900,574.71
  5. Step 5: Solve for x
    x = 195,787,900,574.71/447,570.93
  6. Step 6: Final answer
    x = 437,445.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.