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Finding the Fourth Proportional to 576,038.55, 864,058.26 and 196,962.14

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Solution

The fourth proportional to 576,038.55, 864,058.26 and 196,962.14 is: 295,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,038.55 : 864,058.26 = 196,962.14 : x
  2. Step 2: Convert to fraction form
    576,038.55/864,058.26 = 196,962.14/x
  3. Step 3: Cross multiply
    576,038.55x = 864,058.26 × 196,962.14
  4. Step 4: Simplify right side
    576,038.55x = 170,186,763,888.91
  5. Step 5: Solve for x
    x = 170,186,763,888.91/576,038.55
  6. Step 6: Final answer
    x = 295,443.36

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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.