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Finding the Fourth Proportional to 584,809.92, 876,508.02 and 284,841

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Solution

The fourth proportional to 584,809.92, 876,508.02 and 284,841 is: 426,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,809.92 : 876,508.02 = 284,841 : x
  2. Step 2: Convert to fraction form
    584,809.92/876,508.02 = 284,841/x
  3. Step 3: Cross multiply
    584,809.92x = 876,508.02 × 284,841
  4. Step 4: Simplify right side
    584,809.92x = 249,665,420,924.82
  5. Step 5: Solve for x
    x = 249,665,420,924.82/584,809.92
  6. Step 6: Final answer
    x = 426,917.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.