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Finding the Fourth Proportional to 405,603.68, 559,722.74 and 224,310.76

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Solution

The fourth proportional to 405,603.68, 559,722.74 and 224,310.76 is: 309,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,603.68 : 559,722.74 = 224,310.76 : x
  2. Step 2: Convert to fraction form
    405,603.68/559,722.74 = 224,310.76/x
  3. Step 3: Cross multiply
    405,603.68x = 559,722.74 × 224,310.76
  4. Step 4: Simplify right side
    405,603.68x = 125,551,833,198.68
  5. Step 5: Solve for x
    x = 125,551,833,198.68/405,603.68
  6. Step 6: Final answer
    x = 309,543.13

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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.