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Finding the Fourth Proportional to 564,823.88, 847,430.22 and 354,215.24

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Solution

The fourth proportional to 564,823.88, 847,430.22 and 354,215.24 is: 531,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,823.88 : 847,430.22 = 354,215.24 : x
  2. Step 2: Convert to fraction form
    564,823.88/847,430.22 = 354,215.24/x
  3. Step 3: Cross multiply
    564,823.88x = 847,430.22 × 354,215.24
  4. Step 4: Simplify right side
    564,823.88x = 300,172,698,760.55
  5. Step 5: Solve for x
    x = 300,172,698,760.55/564,823.88
  6. Step 6: Final answer
    x = 531,444.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.