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Finding the Fourth Proportional to 409,749.37, 564,167.41 and 348,374.86

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Solution

The fourth proportional to 409,749.37, 564,167.41 and 348,374.86 is: 479,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,749.37 : 564,167.41 = 348,374.86 : x
  2. Step 2: Convert to fraction form
    409,749.37/564,167.41 = 348,374.86/x
  3. Step 3: Cross multiply
    409,749.37x = 564,167.41 × 348,374.86
  4. Step 4: Simplify right side
    409,749.37x = 196,541,742,475.31
  5. Step 5: Solve for x
    x = 196,541,742,475.31/409,749.37
  6. Step 6: Final answer
    x = 479,663.32

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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.