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Finding the Fourth Proportional to 535,898.31, 803,374.09 and 410,100.24

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Solution

The fourth proportional to 535,898.31, 803,374.09 and 410,100.24 is: 614,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,898.31 : 803,374.09 = 410,100.24 : x
  2. Step 2: Convert to fraction form
    535,898.31/803,374.09 = 410,100.24/x
  3. Step 3: Cross multiply
    535,898.31x = 803,374.09 × 410,100.24
  4. Step 4: Simplify right side
    535,898.31x = 329,463,907,118.78
  5. Step 5: Solve for x
    x = 329,463,907,118.78/535,898.31
  6. Step 6: Final answer
    x = 614,788.11

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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.