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Finding the Fourth Proportional to 539,057.60, 807,614.40 and 257,955.20

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Solution

The fourth proportional to 539,057.60, 807,614.40 and 257,955.20 is: 386,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,057.60 : 807,614.40 = 257,955.20 : x
  2. Step 2: Convert to fraction form
    539,057.60/807,614.40 = 257,955.20/x
  3. Step 3: Cross multiply
    539,057.60x = 807,614.40 × 257,955.20
  4. Step 4: Simplify right side
    539,057.60x = 208,328,334,074.88
  5. Step 5: Solve for x
    x = 208,328,334,074.88/539,057.60
  6. Step 6: Final answer
    x = 386,467.67

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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.