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Finding the Fourth Proportional to 416,717.10, 624,681.96 and 378,532.08

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Solution

The fourth proportional to 416,717.10, 624,681.96 and 378,532.08 is: 567,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,717.10 : 624,681.96 = 378,532.08 : x
  2. Step 2: Convert to fraction form
    416,717.10/624,681.96 = 378,532.08/x
  3. Step 3: Cross multiply
    416,717.10x = 624,681.96 × 378,532.08
  4. Step 4: Simplify right side
    416,717.10x = 236,462,161,657.28
  5. Step 5: Solve for x
    x = 236,462,161,657.28/416,717.10
  6. Step 6: Final answer
    x = 567,440.50

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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.