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Finding the Fourth Proportional to 382,554.72, 573,852.48 and 116,294.76

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Solution

The fourth proportional to 382,554.72, 573,852.48 and 116,294.76 is: 174,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,554.72 : 573,852.48 = 116,294.76 : x
  2. Step 2: Convert to fraction form
    382,554.72/573,852.48 = 116,294.76/x
  3. Step 3: Cross multiply
    382,554.72x = 573,852.48 × 116,294.76
  4. Step 4: Simplify right side
    382,554.72x = 66,736,036,437.00
  5. Step 5: Solve for x
    x = 66,736,036,437.00/382,554.72
  6. Step 6: Final answer
    x = 174,448.34

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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.