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Finding the Fourth Proportional to 407,583.90, 610,209.45 and 360,927.90

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Solution

The fourth proportional to 407,583.90, 610,209.45 and 360,927.90 is: 540,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,583.90 : 610,209.45 = 360,927.90 : x
  2. Step 2: Convert to fraction form
    407,583.90/610,209.45 = 360,927.90/x
  3. Step 3: Cross multiply
    407,583.90x = 610,209.45 × 360,927.90
  4. Step 4: Simplify right side
    407,583.90x = 220,241,615,348.66
  5. Step 5: Solve for x
    x = 220,241,615,348.66/407,583.90
  6. Step 6: Final answer
    x = 540,358.97

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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.