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Finding the Fourth Proportional to 418,547.20, 628,166.40 and 194,252.80

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Solution

The fourth proportional to 418,547.20, 628,166.40 and 194,252.80 is: 291,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,547.20 : 628,166.40 = 194,252.80 : x
  2. Step 2: Convert to fraction form
    418,547.20/628,166.40 = 194,252.80/x
  3. Step 3: Cross multiply
    418,547.20x = 628,166.40 × 194,252.80
  4. Step 4: Simplify right side
    418,547.20x = 122,023,082,065.92
  5. Step 5: Solve for x
    x = 122,023,082,065.92/418,547.20
  6. Step 6: Final answer
    x = 291,539.60

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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.