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Finding the Fourth Proportional to 714,745.98, 986,368.23 and 392,476.86

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Solution

The fourth proportional to 714,745.98, 986,368.23 and 392,476.86 is: 541,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,745.98 : 986,368.23 = 392,476.86 : x
  2. Step 2: Convert to fraction form
    714,745.98/986,368.23 = 392,476.86/x
  3. Step 3: Cross multiply
    714,745.98x = 986,368.23 × 392,476.86
  4. Step 4: Simplify right side
    714,745.98x = 387,126,705,714.16
  5. Step 5: Solve for x
    x = 387,126,705,714.16/714,745.98
  6. Step 6: Final answer
    x = 541,628.38

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Why These Related Problems?

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