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Finding the Fourth Proportional to 471,528.41, 707,292.84 and 155,985.32

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Solution

The fourth proportional to 471,528.41, 707,292.84 and 155,985.32 is: 233,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,528.41 : 707,292.84 = 155,985.32 : x
  2. Step 2: Convert to fraction form
    471,528.41/707,292.84 = 155,985.32/x
  3. Step 3: Cross multiply
    471,528.41x = 707,292.84 × 155,985.32
  4. Step 4: Simplify right side
    471,528.41x = 110,327,296,444.65
  5. Step 5: Solve for x
    x = 110,327,296,444.65/471,528.41
  6. Step 6: Final answer
    x = 233,978.05

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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.