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Finding the Fourth Proportional to 382,032.02, 573,047.40 and 101,549.30

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Solution

The fourth proportional to 382,032.02, 573,047.40 and 101,549.30 is: 152,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,032.02 : 573,047.40 = 101,549.30 : x
  2. Step 2: Convert to fraction form
    382,032.02/573,047.40 = 101,549.30/x
  3. Step 3: Cross multiply
    382,032.02x = 573,047.40 × 101,549.30
  4. Step 4: Simplify right side
    382,032.02x = 58,192,562,336.82
  5. Step 5: Solve for x
    x = 58,192,562,336.82/382,032.02
  6. Step 6: Final answer
    x = 152,323.78

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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.