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Finding the Fourth Proportional to 317,802.72, 476,904.96 and 177,653.28

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Solution

The fourth proportional to 317,802.72, 476,904.96 and 177,653.28 is: 266,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,802.72 : 476,904.96 = 177,653.28 : x
  2. Step 2: Convert to fraction form
    317,802.72/476,904.96 = 177,653.28/x
  3. Step 3: Cross multiply
    317,802.72x = 476,904.96 × 177,653.28
  4. Step 4: Simplify right side
    317,802.72x = 84,723,730,392.27
  5. Step 5: Solve for x
    x = 84,723,730,392.27/317,802.72
  6. Step 6: Final answer
    x = 266,592.21

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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.