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Finding the Fourth Proportional to 405,905.81, 560,141.62 and 224,617.61

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Solution

The fourth proportional to 405,905.81, 560,141.62 and 224,617.61 is: 309,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,905.81 : 560,141.62 = 224,617.61 : x
  2. Step 2: Convert to fraction form
    405,905.81/560,141.62 = 224,617.61/x
  3. Step 3: Cross multiply
    405,905.81x = 560,141.62 × 224,617.61
  4. Step 4: Simplify right side
    405,905.81x = 125,817,672,784.74
  5. Step 5: Solve for x
    x = 125,817,672,784.74/405,905.81
  6. Step 6: Final answer
    x = 309,967.66

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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.