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Finding the Fourth Proportional to 409,814.40, 614,721.60 and 401,941.20

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Solution

The fourth proportional to 409,814.40, 614,721.60 and 401,941.20 is: 602,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,814.40 : 614,721.60 = 401,941.20 : x
  2. Step 2: Convert to fraction form
    409,814.40/614,721.60 = 401,941.20/x
  3. Step 3: Cross multiply
    409,814.40x = 614,721.60 × 401,941.20
  4. Step 4: Simplify right side
    409,814.40x = 247,081,937,569.92
  5. Step 5: Solve for x
    x = 247,081,937,569.92/409,814.40
  6. Step 6: Final answer
    x = 602,911.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.