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Finding the Fourth Proportional to 702,124.54, 968,959.35 and 411,695.72

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Solution

The fourth proportional to 702,124.54, 968,959.35 and 411,695.72 is: 568,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,124.54 : 968,959.35 = 411,695.72 : x
  2. Step 2: Convert to fraction form
    702,124.54/968,959.35 = 411,695.72/x
  3. Step 3: Cross multiply
    702,124.54x = 968,959.35 × 411,695.72
  4. Step 4: Simplify right side
    702,124.54x = 398,916,418,184.03
  5. Step 5: Solve for x
    x = 398,916,418,184.03/702,124.54
  6. Step 6: Final answer
    x = 568,156.21

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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.