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Finding the Fourth Proportional to 640,853.60, 961,280.40 and 309,077.60

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Solution

The fourth proportional to 640,853.60, 961,280.40 and 309,077.60 is: 463,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,853.60 : 961,280.40 = 309,077.60 : x
  2. Step 2: Convert to fraction form
    640,853.60/961,280.40 = 309,077.60/x
  3. Step 3: Cross multiply
    640,853.60x = 961,280.40 × 309,077.60
  4. Step 4: Simplify right side
    640,853.60x = 297,110,238,959.04
  5. Step 5: Solve for x
    x = 297,110,238,959.04/640,853.60
  6. Step 6: Final answer
    x = 463,616.40

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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.