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Finding the Fourth Proportional to 335,323.74, 502,978.32 and 157,732.32

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Solution

The fourth proportional to 335,323.74, 502,978.32 and 157,732.32 is: 236,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,323.74 : 502,978.32 = 157,732.32 : x
  2. Step 2: Convert to fraction form
    335,323.74/502,978.32 = 157,732.32/x
  3. Step 3: Cross multiply
    335,323.74x = 502,978.32 × 157,732.32
  4. Step 4: Simplify right side
    335,323.74x = 79,335,937,323.30
  5. Step 5: Solve for x
    x = 79,335,937,323.30/335,323.74
  6. Step 6: Final answer
    x = 236,595.05

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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.