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Finding the Fourth Proportional to 482,457.60, 723,790.08 and 201,830.40

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Solution

The fourth proportional to 482,457.60, 723,790.08 and 201,830.40 is: 302,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,457.60 : 723,790.08 = 201,830.40 : x
  2. Step 2: Convert to fraction form
    482,457.60/723,790.08 = 201,830.40/x
  3. Step 3: Cross multiply
    482,457.60x = 723,790.08 × 201,830.40
  4. Step 4: Simplify right side
    482,457.60x = 146,082,841,362.43
  5. Step 5: Solve for x
    x = 146,082,841,362.43/482,457.60
  6. Step 6: Final answer
    x = 302,788.97

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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.