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Finding the Fourth Proportional to 599,853.36, 823,391.33 and 530,347.77

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Solution

The fourth proportional to 599,853.36, 823,391.33 and 530,347.77 is: 727,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,853.36 : 823,391.33 = 530,347.77 : x
  2. Step 2: Convert to fraction form
    599,853.36/823,391.33 = 530,347.77/x
  3. Step 3: Cross multiply
    599,853.36x = 823,391.33 × 530,347.77
  4. Step 4: Simplify right side
    599,853.36x = 436,683,748,934.14
  5. Step 5: Solve for x
    x = 436,683,748,934.14/599,853.36
  6. Step 6: Final answer
    x = 727,984.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.