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Finding the Fourth Proportional to 522,587.64, 784,013.07 and 148,610.64

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Solution

The fourth proportional to 522,587.64, 784,013.07 and 148,610.64 is: 222,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,587.64 : 784,013.07 = 148,610.64 : x
  2. Step 2: Convert to fraction form
    522,587.64/784,013.07 = 148,610.64/x
  3. Step 3: Cross multiply
    522,587.64x = 784,013.07 × 148,610.64
  4. Step 4: Simplify right side
    522,587.64x = 116,512,684,101.07
  5. Step 5: Solve for x
    x = 116,512,684,101.07/522,587.64
  6. Step 6: Final answer
    x = 222,953.39

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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.