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Finding the Fourth Proportional to 382,058.16, 572,881.32 and 293,092.08

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Solution

The fourth proportional to 382,058.16, 572,881.32 and 293,092.08 is: 439,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,058.16 : 572,881.32 = 293,092.08 : x
  2. Step 2: Convert to fraction form
    382,058.16/572,881.32 = 293,092.08/x
  3. Step 3: Cross multiply
    382,058.16x = 572,881.32 × 293,092.08
  4. Step 4: Simplify right side
    382,058.16x = 167,906,977,671.95
  5. Step 5: Solve for x
    x = 167,906,977,671.95/382,058.16
  6. Step 6: Final answer
    x = 439,480.15

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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.