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Finding the Fourth Proportional to 477,322.90, 715,511.36 and 224,150.18

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Solution

The fourth proportional to 477,322.90, 715,511.36 and 224,150.18 is: 336,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,322.90 : 715,511.36 = 224,150.18 : x
  2. Step 2: Convert to fraction form
    477,322.90/715,511.36 = 224,150.18/x
  3. Step 3: Cross multiply
    477,322.90x = 715,511.36 × 224,150.18
  4. Step 4: Simplify right side
    477,322.90x = 160,381,997,118.86
  5. Step 5: Solve for x
    x = 160,381,997,118.86/477,322.90
  6. Step 6: Final answer
    x = 336,003.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.