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Finding the Fourth Proportional to 382,364.02, 573,210.69 and 145,549.18

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Solution

The fourth proportional to 382,364.02, 573,210.69 and 145,549.18 is: 218,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,364.02 : 573,210.69 = 145,549.18 : x
  2. Step 2: Convert to fraction form
    382,364.02/573,210.69 = 145,549.18/x
  3. Step 3: Cross multiply
    382,364.02x = 573,210.69 × 145,549.18
  4. Step 4: Simplify right side
    382,364.02x = 83,430,345,896.73
  5. Step 5: Solve for x
    x = 83,430,345,896.73/382,364.02
  6. Step 6: Final answer
    x = 218,196.12

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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.