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Finding the Fourth Proportional to 334,533.64, 461,663.29 and 189,339.42

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Solution

The fourth proportional to 334,533.64, 461,663.29 and 189,339.42 is: 261,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,533.64 : 461,663.29 = 189,339.42 : x
  2. Step 2: Convert to fraction form
    334,533.64/461,663.29 = 189,339.42/x
  3. Step 3: Cross multiply
    334,533.64x = 461,663.29 × 189,339.42
  4. Step 4: Simplify right side
    334,533.64x = 87,411,059,563.89
  5. Step 5: Solve for x
    x = 87,411,059,563.89/334,533.64
  6. Step 6: Final answer
    x = 261,292.29

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1.5x scale

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.