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Finding the Fourth Proportional to 503,267.94, 694,280.90 and 299,203.06

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Solution

The fourth proportional to 503,267.94, 694,280.90 and 299,203.06 is: 412,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,267.94 : 694,280.90 = 299,203.06 : x
  2. Step 2: Convert to fraction form
    503,267.94/694,280.90 = 299,203.06/x
  3. Step 3: Cross multiply
    503,267.94x = 694,280.90 × 299,203.06
  4. Step 4: Simplify right side
    503,267.94x = 207,730,969,779.55
  5. Step 5: Solve for x
    x = 207,730,969,779.55/503,267.94
  6. Step 6: Final answer
    x = 412,764.16

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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.