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Finding the Fourth Proportional to 405,594.64, 559,551.47 and 233,471.42

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Solution

The fourth proportional to 405,594.64, 559,551.47 and 233,471.42 is: 322,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,594.64 : 559,551.47 = 233,471.42 : x
  2. Step 2: Convert to fraction form
    405,594.64/559,551.47 = 233,471.42/x
  3. Step 3: Cross multiply
    405,594.64x = 559,551.47 × 233,471.42
  4. Step 4: Simplify right side
    405,594.64x = 130,639,276,263.99
  5. Step 5: Solve for x
    x = 130,639,276,263.99/405,594.64
  6. Step 6: Final answer
    x = 322,093.20

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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.