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Finding the Fourth Proportional to 390,043.80, 585,065.70 and 257,074.20

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Solution

The fourth proportional to 390,043.80, 585,065.70 and 257,074.20 is: 385,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,043.80 : 585,065.70 = 257,074.20 : x
  2. Step 2: Convert to fraction form
    390,043.80/585,065.70 = 257,074.20/x
  3. Step 3: Cross multiply
    390,043.80x = 585,065.70 × 257,074.20
  4. Step 4: Simplify right side
    390,043.80x = 150,405,296,774.94
  5. Step 5: Solve for x
    x = 150,405,296,774.94/390,043.80
  6. Step 6: Final answer
    x = 385,611.30

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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.