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Finding the Fourth Proportional to 405,739.44, 559,731.76 and 262,545.76

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Solution

The fourth proportional to 405,739.44, 559,731.76 and 262,545.76 is: 362,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,739.44 : 559,731.76 = 262,545.76 : x
  2. Step 2: Convert to fraction form
    405,739.44/559,731.76 = 262,545.76/x
  3. Step 3: Cross multiply
    405,739.44x = 559,731.76 × 262,545.76
  4. Step 4: Simplify right side
    405,739.44x = 146,955,200,325.34
  5. Step 5: Solve for x
    x = 146,955,200,325.34/405,739.44
  6. Step 6: Final answer
    x = 362,191.07

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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.