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Finding the Fourth Proportional to 403,815.60, 557,266.32 and 242,673.12

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Solution

The fourth proportional to 403,815.60, 557,266.32 and 242,673.12 is: 334,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,815.60 : 557,266.32 = 242,673.12 : x
  2. Step 2: Convert to fraction form
    403,815.60/557,266.32 = 242,673.12/x
  3. Step 3: Cross multiply
    403,815.60x = 557,266.32 × 242,673.12
  4. Step 4: Simplify right side
    403,815.60x = 135,233,556,545.32
  5. Step 5: Solve for x
    x = 135,233,556,545.32/403,815.60
  6. Step 6: Final answer
    x = 334,889.38

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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.