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Finding the Fourth Proportional to 407,532.84, 610,504.04 and 266,865

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Solution

The fourth proportional to 407,532.84, 610,504.04 and 266,865 is: 399,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,532.84 : 610,504.04 = 266,865 : x
  2. Step 2: Convert to fraction form
    407,532.84/610,504.04 = 266,865/x
  3. Step 3: Cross multiply
    407,532.84x = 610,504.04 × 266,865
  4. Step 4: Simplify right side
    407,532.84x = 162,922,161,301.76
  5. Step 5: Solve for x
    x = 162,922,161,301.76/407,532.84
  6. Step 6: Final answer
    x = 399,776.77

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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.