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Finding the Fourth Proportional to 555,745, 832,285.50 and 285,161.08

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Solution

The fourth proportional to 555,745, 832,285.50 and 285,161.08 is: 427,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,745 : 832,285.50 = 285,161.08 : x
  2. Step 2: Convert to fraction form
    555,745/832,285.50 = 285,161.08/x
  3. Step 3: Cross multiply
    555,745x = 832,285.50 × 285,161.08
  4. Step 4: Simplify right side
    555,745x = 237,335,432,048.34
  5. Step 5: Solve for x
    x = 237,335,432,048.34/555,745
  6. Step 6: Final answer
    x = 427,058.15

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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.