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Finding the Fourth Proportional to 405,848.88, 560,023.47 and 224,536.86

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Solution

The fourth proportional to 405,848.88, 560,023.47 and 224,536.86 is: 309,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,848.88 : 560,023.47 = 224,536.86 : x
  2. Step 2: Convert to fraction form
    405,848.88/560,023.47 = 224,536.86/x
  3. Step 3: Cross multiply
    405,848.88x = 560,023.47 × 224,536.86
  4. Step 4: Simplify right side
    405,848.88x = 125,745,911,480.10
  5. Step 5: Solve for x
    x = 125,745,911,480.10/405,848.88
  6. Step 6: Final answer
    x = 309,834.32

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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.