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Finding the Fourth Proportional to 710,694.15, 1,065,737.77 and 411,381.33

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Solution

The fourth proportional to 710,694.15, 1,065,737.77 and 411,381.33 is: 616,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,694.15 : 1,065,737.77 = 411,381.33 : x
  2. Step 2: Convert to fraction form
    710,694.15/1,065,737.77 = 411,381.33/x
  3. Step 3: Cross multiply
    710,694.15x = 1,065,737.77 × 411,381.33
  4. Step 4: Simplify right side
    710,694.15x = 438,424,613,868.24
  5. Step 5: Solve for x
    x = 438,424,613,868.24/710,694.15
  6. Step 6: Final answer
    x = 616,896.34

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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.