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Finding the Fourth Proportional to 405,624.86, 559,779.72 and 224,336.74

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Solution

The fourth proportional to 405,624.86, 559,779.72 and 224,336.74 is: 309,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,624.86 : 559,779.72 = 224,336.74 : x
  2. Step 2: Convert to fraction form
    405,624.86/559,779.72 = 224,336.74/x
  3. Step 3: Cross multiply
    405,624.86x = 559,779.72 × 224,336.74
  4. Step 4: Simplify right side
    405,624.86x = 125,579,157,502.91
  5. Step 5: Solve for x
    x = 125,579,157,502.91/405,624.86
  6. Step 6: Final answer
    x = 309,594.33

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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.