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Finding the Fourth Proportional to 503,731.66, 694,925.04 and 340,335.76

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Solution

The fourth proportional to 503,731.66, 694,925.04 and 340,335.76 is: 469,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,731.66 : 694,925.04 = 340,335.76 : x
  2. Step 2: Convert to fraction form
    503,731.66/694,925.04 = 340,335.76/x
  3. Step 3: Cross multiply
    503,731.66x = 694,925.04 × 340,335.76
  4. Step 4: Simplify right side
    503,731.66x = 236,507,841,631.43
  5. Step 5: Solve for x
    x = 236,507,841,631.43/503,731.66
  6. Step 6: Final answer
    x = 469,511.57

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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.