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Finding the Fourth Proportional to 708,214.08, 977,221.08 and 421,726.80

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Solution

The fourth proportional to 708,214.08, 977,221.08 and 421,726.80 is: 581,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,214.08 : 977,221.08 = 421,726.80 : x
  2. Step 2: Convert to fraction form
    708,214.08/977,221.08 = 421,726.80/x
  3. Step 3: Cross multiply
    708,214.08x = 977,221.08 × 421,726.80
  4. Step 4: Simplify right side
    708,214.08x = 412,120,318,960.94
  5. Step 5: Solve for x
    x = 412,120,318,960.94/708,214.08
  6. Step 6: Final answer
    x = 581,914.89

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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.