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Finding the Fourth Proportional to 296,476.09, 409,137.17 and 160,510.07

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Solution

The fourth proportional to 296,476.09, 409,137.17 and 160,510.07 is: 221,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,476.09 : 409,137.17 = 160,510.07 : x
  2. Step 2: Convert to fraction form
    296,476.09/409,137.17 = 160,510.07/x
  3. Step 3: Cross multiply
    296,476.09x = 409,137.17 × 160,510.07
  4. Step 4: Simplify right side
    296,476.09x = 65,670,637,220.42
  5. Step 5: Solve for x
    x = 65,670,637,220.42/296,476.09
  6. Step 6: Final answer
    x = 221,503.99

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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.