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Finding the Fourth Proportional to 382,026.51, 573,058.80 and 145,387.53

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Solution

The fourth proportional to 382,026.51, 573,058.80 and 145,387.53 is: 218,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,026.51 : 573,058.80 = 145,387.53 : x
  2. Step 2: Convert to fraction form
    382,026.51/573,058.80 = 145,387.53/x
  3. Step 3: Cross multiply
    382,026.51x = 573,058.80 × 145,387.53
  4. Step 4: Simplify right side
    382,026.51x = 83,315,603,476.76
  5. Step 5: Solve for x
    x = 83,315,603,476.76/382,026.51
  6. Step 6: Final answer
    x = 218,088.54

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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.