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Finding the Fourth Proportional to 265,582.06, 398,331.74 and 145,698.01

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Solution

The fourth proportional to 265,582.06, 398,331.74 and 145,698.01 is: 218,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,582.06 : 398,331.74 = 145,698.01 : x
  2. Step 2: Convert to fraction form
    265,582.06/398,331.74 = 145,698.01/x
  3. Step 3: Cross multiply
    265,582.06x = 398,331.74 × 145,698.01
  4. Step 4: Simplify right side
    265,582.06x = 58,036,141,206.25
  5. Step 5: Solve for x
    x = 58,036,141,206.25/265,582.06
  6. Step 6: Final answer
    x = 218,524.33

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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.