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Finding the Fourth Proportional to 416,810.82, 624,703.26 and 237,047.10

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Solution

The fourth proportional to 416,810.82, 624,703.26 and 237,047.10 is: 355,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,810.82 : 624,703.26 = 237,047.10 : x
  2. Step 2: Convert to fraction form
    416,810.82/624,703.26 = 237,047.10/x
  3. Step 3: Cross multiply
    416,810.82x = 624,703.26 × 237,047.10
  4. Step 4: Simplify right side
    416,810.82x = 148,084,096,143.55
  5. Step 5: Solve for x
    x = 148,084,096,143.55/416,810.82
  6. Step 6: Final answer
    x = 355,278.92

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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.