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Finding the Fourth Proportional to 413,085.61, 569,736.75 and 298,792.99

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Solution

The fourth proportional to 413,085.61, 569,736.75 and 298,792.99 is: 412,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,085.61 : 569,736.75 = 298,792.99 : x
  2. Step 2: Convert to fraction form
    413,085.61/569,736.75 = 298,792.99/x
  3. Step 3: Cross multiply
    413,085.61x = 569,736.75 × 298,792.99
  4. Step 4: Simplify right side
    413,085.61x = 170,233,347,045.38
  5. Step 5: Solve for x
    x = 170,233,347,045.38/413,085.61
  6. Step 6: Final answer
    x = 412,101.86

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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.