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Finding the Fourth Proportional to 493,456.16, 680,685.25 and 297,085.93

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Solution

The fourth proportional to 493,456.16, 680,685.25 and 297,085.93 is: 409,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,456.16 : 680,685.25 = 297,085.93 : x
  2. Step 2: Convert to fraction form
    493,456.16/680,685.25 = 297,085.93/x
  3. Step 3: Cross multiply
    493,456.16x = 680,685.25 × 297,085.93
  4. Step 4: Simplify right side
    493,456.16x = 202,222,008,089.11
  5. Step 5: Solve for x
    x = 202,222,008,089.11/493,456.16
  6. Step 6: Final answer
    x = 409,807.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.