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Finding the Fourth Proportional to 710,640, 1,065,728.88 and 237,198.24

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Solution

The fourth proportional to 710,640, 1,065,728.88 and 237,198.24 is: 355,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,640 : 1,065,728.88 = 237,198.24 : x
  2. Step 2: Convert to fraction form
    710,640/1,065,728.88 = 237,198.24/x
  3. Step 3: Cross multiply
    710,640x = 1,065,728.88 × 237,198.24
  4. Step 4: Simplify right side
    710,640x = 252,789,014,653.17
  5. Step 5: Solve for x
    x = 252,789,014,653.17/710,640
  6. Step 6: Final answer
    x = 355,720.22

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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.