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Finding the Fourth Proportional to 350,259.20, 524,611.20 and 288,051.20

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Solution

The fourth proportional to 350,259.20, 524,611.20 and 288,051.20 is: 431,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,259.20 : 524,611.20 = 288,051.20 : x
  2. Step 2: Convert to fraction form
    350,259.20/524,611.20 = 288,051.20/x
  3. Step 3: Cross multiply
    350,259.20x = 524,611.20 × 288,051.20
  4. Step 4: Simplify right side
    350,259.20x = 151,114,885,693.44
  5. Step 5: Solve for x
    x = 151,114,885,693.44/350,259.20
  6. Step 6: Final answer
    x = 431,437.31

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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.