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Finding the Fourth Proportional to 864,003, 1,192,324.14 and 506,307

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Solution

The fourth proportional to 864,003, 1,192,324.14 and 506,307 is: 698,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,003 : 1,192,324.14 = 506,307 : x
  2. Step 2: Convert to fraction form
    864,003/1,192,324.14 = 506,307/x
  3. Step 3: Cross multiply
    864,003x = 1,192,324.14 × 506,307
  4. Step 4: Simplify right side
    864,003x = 603,682,058,350.98
  5. Step 5: Solve for x
    x = 603,682,058,350.98/864,003
  6. Step 6: Final answer
    x = 698,703.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.