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Finding the Fourth Proportional to 461,662.32, 692,597.24 and 146,138.16

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Solution

The fourth proportional to 461,662.32, 692,597.24 and 146,138.16 is: 219,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,662.32 : 692,597.24 = 146,138.16 : x
  2. Step 2: Convert to fraction form
    461,662.32/692,597.24 = 146,138.16/x
  3. Step 3: Cross multiply
    461,662.32x = 692,597.24 × 146,138.16
  4. Step 4: Simplify right side
    461,662.32x = 101,214,886,274.68
  5. Step 5: Solve for x
    x = 101,214,886,274.68/461,662.32
  6. Step 6: Final answer
    x = 219,240.08

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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.