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Finding the Fourth Proportional to 821,564.90, 1,232,347.86 and 537,494.10

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Solution

The fourth proportional to 821,564.90, 1,232,347.86 and 537,494.10 is: 806,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,564.90 : 1,232,347.86 = 537,494.10 : x
  2. Step 2: Convert to fraction form
    821,564.90/1,232,347.86 = 537,494.10/x
  3. Step 3: Cross multiply
    821,564.90x = 1,232,347.86 × 537,494.10
  4. Step 4: Simplify right side
    821,564.90x = 662,379,703,897.63
  5. Step 5: Solve for x
    x = 662,379,703,897.63/821,564.90
  6. Step 6: Final answer
    x = 806,241.49

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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.