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Finding the Fourth Proportional to 405,945.66, 560,264.31 and 233,830.18

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Solution

The fourth proportional to 405,945.66, 560,264.31 and 233,830.18 is: 322,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,945.66 : 560,264.31 = 233,830.18 : x
  2. Step 2: Convert to fraction form
    405,945.66/560,264.31 = 233,830.18/x
  3. Step 3: Cross multiply
    405,945.66x = 560,264.31 × 233,830.18
  4. Step 4: Simplify right side
    405,945.66x = 131,006,704,454.88
  5. Step 5: Solve for x
    x = 131,006,704,454.88/405,945.66
  6. Step 6: Final answer
    x = 322,719.81

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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.