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Finding the Fourth Proportional to 382,568.04, 573,735.36 and 307,510.20

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Solution

The fourth proportional to 382,568.04, 573,735.36 and 307,510.20 is: 461,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,568.04 : 573,735.36 = 307,510.20 : x
  2. Step 2: Convert to fraction form
    382,568.04/573,735.36 = 307,510.20/x
  3. Step 3: Cross multiply
    382,568.04x = 573,735.36 × 307,510.20
  4. Step 4: Simplify right side
    382,568.04x = 176,429,475,300.67
  5. Step 5: Solve for x
    x = 176,429,475,300.67/382,568.04
  6. Step 6: Final answer
    x = 461,171.50

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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.