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Finding the Fourth Proportional to 506,460.15, 759,690.23 and 206,743.95

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Solution

The fourth proportional to 506,460.15, 759,690.23 and 206,743.95 is: 310,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,460.15 : 759,690.23 = 206,743.95 : x
  2. Step 2: Convert to fraction form
    506,460.15/759,690.23 = 206,743.95/x
  3. Step 3: Cross multiply
    506,460.15x = 759,690.23 × 206,743.95
  4. Step 4: Simplify right side
    506,460.15x = 157,061,357,892.89
  5. Step 5: Solve for x
    x = 157,061,357,892.89/506,460.15
  6. Step 6: Final answer
    x = 310,115.93

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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.