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Finding the Fourth Proportional to 407,967.54, 562,833.93 and 235,853.83

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Solution

The fourth proportional to 407,967.54, 562,833.93 and 235,853.83 is: 325,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,967.54 : 562,833.93 = 235,853.83 : x
  2. Step 2: Convert to fraction form
    407,967.54/562,833.93 = 235,853.83/x
  3. Step 3: Cross multiply
    407,967.54x = 562,833.93 × 235,853.83
  4. Step 4: Simplify right side
    407,967.54x = 132,746,538,044.45
  5. Step 5: Solve for x
    x = 132,746,538,044.45/407,967.54
  6. Step 6: Final answer
    x = 325,385.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.