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Finding the Fourth Proportional to 595,820.88, 822,141 and 354,013.92

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Solution

The fourth proportional to 595,820.88, 822,141 and 354,013.92 is: 488,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,820.88 : 822,141 = 354,013.92 : x
  2. Step 2: Convert to fraction form
    595,820.88/822,141 = 354,013.92/x
  3. Step 3: Cross multiply
    595,820.88x = 822,141 × 354,013.92
  4. Step 4: Simplify right side
    595,820.88x = 291,049,358,202.72
  5. Step 5: Solve for x
    x = 291,049,358,202.72/595,820.88
  6. Step 6: Final answer
    x = 488,484.66

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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.