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Finding the Fourth Proportional to 382,032.98, 573,068.51 and 145,394.00

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Solution

The fourth proportional to 382,032.98, 573,068.51 and 145,394.00 is: 218,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,032.98 : 573,068.51 = 145,394.00 : x
  2. Step 2: Convert to fraction form
    382,032.98/573,068.51 = 145,394.00/x
  3. Step 3: Cross multiply
    382,032.98x = 573,068.51 × 145,394.00
  4. Step 4: Simplify right side
    382,032.98x = 83,320,719,350.63
  5. Step 5: Solve for x
    x = 83,320,719,350.63/382,032.98
  6. Step 6: Final answer
    x = 218,098.24

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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.