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Finding the Fourth Proportional to 413,937.53, 620,386.88 and 177,001.59

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Solution

The fourth proportional to 413,937.53, 620,386.88 and 177,001.59 is: 265,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,937.53 : 620,386.88 = 177,001.59 : x
  2. Step 2: Convert to fraction form
    413,937.53/620,386.88 = 177,001.59/x
  3. Step 3: Cross multiply
    413,937.53x = 620,386.88 × 177,001.59
  4. Step 4: Simplify right side
    413,937.53x = 109,809,463,290.13
  5. Step 5: Solve for x
    x = 109,809,463,290.13/413,937.53
  6. Step 6: Final answer
    x = 265,280.28

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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.