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Finding the Fourth Proportional to 536,309.40, 803,772.90 and 411,029.40

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Solution

The fourth proportional to 536,309.40, 803,772.90 and 411,029.40 is: 616,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,309.40 : 803,772.90 = 411,029.40 : x
  2. Step 2: Convert to fraction form
    536,309.40/803,772.90 = 411,029.40/x
  3. Step 3: Cross multiply
    536,309.40x = 803,772.90 × 411,029.40
  4. Step 4: Simplify right side
    536,309.40x = 330,374,292,823.26
  5. Step 5: Solve for x
    x = 330,374,292,823.26/536,309.40
  6. Step 6: Final answer
    x = 616,014.36

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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.