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Finding the Fourth Proportional to 523,519.62, 785,283.50 and 286,733.13

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Solution

The fourth proportional to 523,519.62, 785,283.50 and 286,733.13 is: 430,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,519.62 : 785,283.50 = 286,733.13 : x
  2. Step 2: Convert to fraction form
    523,519.62/785,283.50 = 286,733.13/x
  3. Step 3: Cross multiply
    523,519.62x = 785,283.50 × 286,733.13
  4. Step 4: Simplify right side
    523,519.62x = 225,166,796,609.19
  5. Step 5: Solve for x
    x = 225,166,796,609.19/523,519.62
  6. Step 6: Final answer
    x = 430,101.93

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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.