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Finding the Fourth Proportional to 523,751.40, 785,243.10 and 208,052.20

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Solution

The fourth proportional to 523,751.40, 785,243.10 and 208,052.20 is: 311,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,751.40 : 785,243.10 = 208,052.20 : x
  2. Step 2: Convert to fraction form
    523,751.40/785,243.10 = 208,052.20/x
  3. Step 3: Cross multiply
    523,751.40x = 785,243.10 × 208,052.20
  4. Step 4: Simplify right side
    523,751.40x = 163,371,554,489.82
  5. Step 5: Solve for x
    x = 163,371,554,489.82/523,751.40
  6. Step 6: Final answer
    x = 311,925.76

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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.