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Finding the Fourth Proportional to 382,035.40, 573,053.10 and 293,461.90

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Solution

The fourth proportional to 382,035.40, 573,053.10 and 293,461.90 is: 440,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,035.40 : 573,053.10 = 293,461.90 : x
  2. Step 2: Convert to fraction form
    382,035.40/573,053.10 = 293,461.90/x
  3. Step 3: Cross multiply
    382,035.40x = 573,053.10 × 293,461.90
  4. Step 4: Simplify right side
    382,035.40x = 168,169,251,526.89
  5. Step 5: Solve for x
    x = 168,169,251,526.89/382,035.40
  6. Step 6: Final answer
    x = 440,192.85

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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.