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Finding the Fourth Proportional to 559,381.54, 772,002.29 and 341,578.21

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Solution

The fourth proportional to 559,381.54, 772,002.29 and 341,578.21 is: 471,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,381.54 : 772,002.29 = 341,578.21 : x
  2. Step 2: Convert to fraction form
    559,381.54/772,002.29 = 341,578.21/x
  3. Step 3: Cross multiply
    559,381.54x = 772,002.29 × 341,578.21
  4. Step 4: Simplify right side
    559,381.54x = 263,699,158,626.21
  5. Step 5: Solve for x
    x = 263,699,158,626.21/559,381.54
  6. Step 6: Final answer
    x = 471,411.98

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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.