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Finding the Fourth Proportional to 411,085.60, 616,628.40 and 201,133.60

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Solution

The fourth proportional to 411,085.60, 616,628.40 and 201,133.60 is: 301,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,085.60 : 616,628.40 = 201,133.60 : x
  2. Step 2: Convert to fraction form
    411,085.60/616,628.40 = 201,133.60/x
  3. Step 3: Cross multiply
    411,085.60x = 616,628.40 × 201,133.60
  4. Step 4: Simplify right side
    411,085.60x = 124,024,689,954.24
  5. Step 5: Solve for x
    x = 124,024,689,954.24/411,085.60
  6. Step 6: Final answer
    x = 301,700.40

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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.