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Finding the Fourth Proportional to 335,714.85, 503,055.27 and 155,689.50

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Solution

The fourth proportional to 335,714.85, 503,055.27 and 155,689.50 is: 233,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,714.85 : 503,055.27 = 155,689.50 : x
  2. Step 2: Convert to fraction form
    335,714.85/503,055.27 = 155,689.50/x
  3. Step 3: Cross multiply
    335,714.85x = 503,055.27 × 155,689.50
  4. Step 4: Simplify right side
    335,714.85x = 78,320,423,458.67
  5. Step 5: Solve for x
    x = 78,320,423,458.67/335,714.85
  6. Step 6: Final answer
    x = 233,294.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.