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Finding the Fourth Proportional to 765,792.11, 1,148,859.48 and 233,354.81

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Solution

The fourth proportional to 765,792.11, 1,148,859.48 and 233,354.81 is: 350,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,792.11 : 1,148,859.48 = 233,354.81 : x
  2. Step 2: Convert to fraction form
    765,792.11/1,148,859.48 = 233,354.81/x
  3. Step 3: Cross multiply
    765,792.11x = 1,148,859.48 × 233,354.81
  4. Step 4: Simplify right side
    765,792.11x = 268,091,879,927.80
  5. Step 5: Solve for x
    x = 268,091,879,927.80/765,792.11
  6. Step 6: Final answer
    x = 350,084.41

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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.