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Finding the Fourth Proportional to 288,088.32, 397,561.62 and 160,764.60

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Solution

The fourth proportional to 288,088.32, 397,561.62 and 160,764.60 is: 221,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,088.32 : 397,561.62 = 160,764.60 : x
  2. Step 2: Convert to fraction form
    288,088.32/397,561.62 = 160,764.60/x
  3. Step 3: Cross multiply
    288,088.32x = 397,561.62 × 160,764.60
  4. Step 4: Simplify right side
    288,088.32x = 63,913,834,814.65
  5. Step 5: Solve for x
    x = 63,913,834,814.65/288,088.32
  6. Step 6: Final answer
    x = 221,855.00

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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.