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Finding the Fourth Proportional to 559,223.76, 771,828.86 and 329,767.14

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Solution

The fourth proportional to 559,223.76, 771,828.86 and 329,767.14 is: 455,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,223.76 : 771,828.86 = 329,767.14 : x
  2. Step 2: Convert to fraction form
    559,223.76/771,828.86 = 329,767.14/x
  3. Step 3: Cross multiply
    559,223.76x = 771,828.86 × 329,767.14
  4. Step 4: Simplify right side
    559,223.76x = 254,523,794,487.25
  5. Step 5: Solve for x
    x = 254,523,794,487.25/559,223.76
  6. Step 6: Final answer
    x = 455,137.66

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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.