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Finding the Fourth Proportional to 321,692.12, 482,541.58 and 97,054.50

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Solution

The fourth proportional to 321,692.12, 482,541.58 and 97,054.50 is: 145,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,692.12 : 482,541.58 = 97,054.50 : x
  2. Step 2: Convert to fraction form
    321,692.12/482,541.58 = 97,054.50/x
  3. Step 3: Cross multiply
    321,692.12x = 482,541.58 × 97,054.50
  4. Step 4: Simplify right side
    321,692.12x = 46,832,831,776.11
  5. Step 5: Solve for x
    x = 46,832,831,776.11/321,692.12
  6. Step 6: Final answer
    x = 145,582.78

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Why These Related Problems?

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