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Finding the Fourth Proportional to 405,857.06, 560,077.16 and 224,565.69

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Solution

The fourth proportional to 405,857.06, 560,077.16 and 224,565.69 is: 309,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,857.06 : 560,077.16 = 224,565.69 : x
  2. Step 2: Convert to fraction form
    405,857.06/560,077.16 = 224,565.69/x
  3. Step 3: Cross multiply
    405,857.06x = 560,077.16 × 224,565.69
  4. Step 4: Simplify right side
    405,857.06x = 125,774,113,888.64
  5. Step 5: Solve for x
    x = 125,774,113,888.64/405,857.06
  6. Step 6: Final answer
    x = 309,897.56

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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.