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Finding the Fourth Proportional to 399,152.80, 598,729.20 and 257,435.20

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Solution

The fourth proportional to 399,152.80, 598,729.20 and 257,435.20 is: 386,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,152.80 : 598,729.20 = 257,435.20 : x
  2. Step 2: Convert to fraction form
    399,152.80/598,729.20 = 257,435.20/x
  3. Step 3: Cross multiply
    399,152.80x = 598,729.20 × 257,435.20
  4. Step 4: Simplify right side
    399,152.80x = 154,133,971,347.84
  5. Step 5: Solve for x
    x = 154,133,971,347.84/399,152.80
  6. Step 6: Final answer
    x = 386,152.80

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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.