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Finding the Fourth Proportional to 401,446.30, 602,023.65 and 201,700.30

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Solution

The fourth proportional to 401,446.30, 602,023.65 and 201,700.30 is: 302,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,446.30 : 602,023.65 = 201,700.30 : x
  2. Step 2: Convert to fraction form
    401,446.30/602,023.65 = 201,700.30/x
  3. Step 3: Cross multiply
    401,446.30x = 602,023.65 × 201,700.30
  4. Step 4: Simplify right side
    401,446.30x = 121,428,350,812.10
  5. Step 5: Solve for x
    x = 121,428,350,812.10/401,446.30
  6. Step 6: Final answer
    x = 302,477.20

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1.5x scale

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.