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Finding the Fourth Proportional to 977,253.80, 1,464,714.30 and 408,633.80

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Solution

The fourth proportional to 977,253.80, 1,464,714.30 and 408,633.80 is: 612,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,253.80 : 1,464,714.30 = 408,633.80 : x
  2. Step 2: Convert to fraction form
    977,253.80/1,464,714.30 = 408,633.80/x
  3. Step 3: Cross multiply
    977,253.80x = 1,464,714.30 × 408,633.80
  4. Step 4: Simplify right side
    977,253.80x = 598,531,770,323.34
  5. Step 5: Solve for x
    x = 598,531,770,323.34/977,253.80
  6. Step 6: Final answer
    x = 612,462.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.