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Finding the Fourth Proportional to 405,098.92, 559,036.56 and 235,343.98

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Solution

The fourth proportional to 405,098.92, 559,036.56 and 235,343.98 is: 324,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,098.92 : 559,036.56 = 235,343.98 : x
  2. Step 2: Convert to fraction form
    405,098.92/559,036.56 = 235,343.98/x
  3. Step 3: Cross multiply
    405,098.92x = 559,036.56 × 235,343.98
  4. Step 4: Simplify right side
    405,098.92x = 131,565,888,995.91
  5. Step 5: Solve for x
    x = 131,565,888,995.91/405,098.92
  6. Step 6: Final answer
    x = 324,774.72

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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.