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Finding the Fourth Proportional to 442,236, 663,457.68 and 146,748

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Solution

The fourth proportional to 442,236, 663,457.68 and 146,748 is: 220,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,236 : 663,457.68 = 146,748 : x
  2. Step 2: Convert to fraction form
    442,236/663,457.68 = 146,748/x
  3. Step 3: Cross multiply
    442,236x = 663,457.68 × 146,748
  4. Step 4: Simplify right side
    442,236x = 97,361,087,624.64
  5. Step 5: Solve for x
    x = 97,361,087,624.64/442,236
  6. Step 6: Final answer
    x = 220,156.40

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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.