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Finding the Fourth Proportional to 420,068.40, 630,102.60 and 414,538.80

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Solution

The fourth proportional to 420,068.40, 630,102.60 and 414,538.80 is: 621,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,068.40 : 630,102.60 = 414,538.80 : x
  2. Step 2: Convert to fraction form
    420,068.40/630,102.60 = 414,538.80/x
  3. Step 3: Cross multiply
    420,068.40x = 630,102.60 × 414,538.80
  4. Step 4: Simplify right side
    420,068.40x = 261,201,975,680.88
  5. Step 5: Solve for x
    x = 261,201,975,680.88/420,068.40
  6. Step 6: Final answer
    x = 621,808.20

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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.