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Finding the Fourth Proportional to 599,603.58, 827,062.47 and 384,402.78

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Solution

The fourth proportional to 599,603.58, 827,062.47 and 384,402.78 is: 530,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,603.58 : 827,062.47 = 384,402.78 : x
  2. Step 2: Convert to fraction form
    599,603.58/827,062.47 = 384,402.78/x
  3. Step 3: Cross multiply
    599,603.58x = 827,062.47 × 384,402.78
  4. Step 4: Simplify right side
    599,603.58x = 317,925,112,701.67
  5. Step 5: Solve for x
    x = 317,925,112,701.67/599,603.58
  6. Step 6: Final answer
    x = 530,225.51

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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.