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Finding the Fourth Proportional to 301,655.61, 416,288.16 and 165,692.75

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Solution

The fourth proportional to 301,655.61, 416,288.16 and 165,692.75 is: 228,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,655.61 : 416,288.16 = 165,692.75 : x
  2. Step 2: Convert to fraction form
    301,655.61/416,288.16 = 165,692.75/x
  3. Step 3: Cross multiply
    301,655.61x = 416,288.16 × 165,692.75
  4. Step 4: Simplify right side
    301,655.61x = 68,975,927,941.40
  5. Step 5: Solve for x
    x = 68,975,927,941.40/301,655.61
  6. Step 6: Final answer
    x = 228,657.87

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1.5x scale

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.