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Finding the Fourth Proportional to 607,164.40, 911,297.40 and 307,853.20

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Solution

The fourth proportional to 607,164.40, 911,297.40 and 307,853.20 is: 462,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,164.40 : 911,297.40 = 307,853.20 : x
  2. Step 2: Convert to fraction form
    607,164.40/911,297.40 = 307,853.20/x
  3. Step 3: Cross multiply
    607,164.40x = 911,297.40 × 307,853.20
  4. Step 4: Simplify right side
    607,164.40x = 280,545,820,741.68
  5. Step 5: Solve for x
    x = 280,545,820,741.68/607,164.40
  6. Step 6: Final answer
    x = 462,059.07

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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.