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Finding the Fourth Proportional to 497,585.62, 746,667.51 and 209,376.01

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Solution

The fourth proportional to 497,585.62, 746,667.51 and 209,376.01 is: 314,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,585.62 : 746,667.51 = 209,376.01 : x
  2. Step 2: Convert to fraction form
    497,585.62/746,667.51 = 209,376.01/x
  3. Step 3: Cross multiply
    497,585.62x = 746,667.51 × 209,376.01
  4. Step 4: Simplify right side
    497,585.62x = 156,334,259,260.22
  5. Step 5: Solve for x
    x = 156,334,259,260.22/497,585.62
  6. Step 6: Final answer
    x = 314,185.65

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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.