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Finding the Fourth Proportional to 405,934.74, 560,191.01 and 224,659.17

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Solution

The fourth proportional to 405,934.74, 560,191.01 and 224,659.17 is: 310,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,934.74 : 560,191.01 = 224,659.17 : x
  2. Step 2: Convert to fraction form
    405,934.74/560,191.01 = 224,659.17/x
  3. Step 3: Cross multiply
    405,934.74x = 560,191.01 × 224,659.17
  4. Step 4: Simplify right side
    405,934.74x = 125,852,046,224.77
  5. Step 5: Solve for x
    x = 125,852,046,224.77/405,934.74
  6. Step 6: Final answer
    x = 310,030.24

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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.