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Finding the Fourth Proportional to 785,484, 1,083,967.92 and 427,788

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Solution

The fourth proportional to 785,484, 1,083,967.92 and 427,788 is: 590,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,484 : 1,083,967.92 = 427,788 : x
  2. Step 2: Convert to fraction form
    785,484/1,083,967.92 = 427,788/x
  3. Step 3: Cross multiply
    785,484x = 1,083,967.92 × 427,788
  4. Step 4: Simplify right side
    785,484x = 463,708,468,560.96
  5. Step 5: Solve for x
    x = 463,708,468,560.96/785,484
  6. Step 6: Final answer
    x = 590,347.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.