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Finding the Fourth Proportional to 434,017, 651,378.66 and 223,715.08

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Solution

The fourth proportional to 434,017, 651,378.66 and 223,715.08 is: 335,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,017 : 651,378.66 = 223,715.08 : x
  2. Step 2: Convert to fraction form
    434,017/651,378.66 = 223,715.08/x
  3. Step 3: Cross multiply
    434,017x = 651,378.66 × 223,715.08
  4. Step 4: Simplify right side
    434,017x = 145,723,229,032.19
  5. Step 5: Solve for x
    x = 145,723,229,032.19/434,017
  6. Step 6: Final answer
    x = 335,754.66

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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.