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Finding the Fourth Proportional to 465,840.96, 698,909.10 and 166,314.90

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Solution

The fourth proportional to 465,840.96, 698,909.10 and 166,314.90 is: 249,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,840.96 : 698,909.10 = 166,314.90 : x
  2. Step 2: Convert to fraction form
    465,840.96/698,909.10 = 166,314.90/x
  3. Step 3: Cross multiply
    465,840.96x = 698,909.10 × 166,314.90
  4. Step 4: Simplify right side
    465,840.96x = 116,238,997,075.59
  5. Step 5: Solve for x
    x = 116,238,997,075.59/465,840.96
  6. Step 6: Final answer
    x = 249,525.07

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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.