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Finding the Fourth Proportional to 405,462.42, 559,480.95 and 233,314.92

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Solution

The fourth proportional to 405,462.42, 559,480.95 and 233,314.92 is: 321,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,462.42 : 559,480.95 = 233,314.92 : x
  2. Step 2: Convert to fraction form
    405,462.42/559,480.95 = 233,314.92/x
  3. Step 3: Cross multiply
    405,462.42x = 559,480.95 × 233,314.92
  4. Step 4: Simplify right side
    405,462.42x = 130,535,253,090.77
  5. Step 5: Solve for x
    x = 130,535,253,090.77/405,462.42
  6. Step 6: Final answer
    x = 321,941.68

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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.