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Finding the Fourth Proportional to 382,437.64, 573,722.07 and 116,225.07

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Solution

The fourth proportional to 382,437.64, 573,722.07 and 116,225.07 is: 174,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,437.64 : 573,722.07 = 116,225.07 : x
  2. Step 2: Convert to fraction form
    382,437.64/573,722.07 = 116,225.07/x
  3. Step 3: Cross multiply
    382,437.64x = 573,722.07 × 116,225.07
  4. Step 4: Simplify right side
    382,437.64x = 66,680,887,746.29
  5. Step 5: Solve for x
    x = 66,680,887,746.29/382,437.64
  6. Step 6: Final answer
    x = 174,357.54

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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.