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Finding the Fourth Proportional to 422,094.76, 633,150.24 and 155,718.16

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Solution

The fourth proportional to 422,094.76, 633,150.24 and 155,718.16 is: 233,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,094.76 : 633,150.24 = 155,718.16 : x
  2. Step 2: Convert to fraction form
    422,094.76/633,150.24 = 155,718.16/x
  3. Step 3: Cross multiply
    422,094.76x = 633,150.24 × 155,718.16
  4. Step 4: Simplify right side
    422,094.76x = 98,592,990,376.36
  5. Step 5: Solve for x
    x = 98,592,990,376.36/422,094.76
  6. Step 6: Final answer
    x = 233,580.23

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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.