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Finding the Fourth Proportional to 409,624.86, 565,050.78 and 256,397.03

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Solution

The fourth proportional to 409,624.86, 565,050.78 and 256,397.03 is: 353,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,624.86 : 565,050.78 = 256,397.03 : x
  2. Step 2: Convert to fraction form
    409,624.86/565,050.78 = 256,397.03/x
  3. Step 3: Cross multiply
    409,624.86x = 565,050.78 × 256,397.03
  4. Step 4: Simplify right side
    409,624.86x = 144,877,341,791.18
  5. Step 5: Solve for x
    x = 144,877,341,791.18/409,624.86
  6. Step 6: Final answer
    x = 353,682.98

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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.