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Finding the Fourth Proportional to 710,827.98, 1,066,538.16 and 311,755.32

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Solution

The fourth proportional to 710,827.98, 1,066,538.16 and 311,755.32 is: 467,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,827.98 : 1,066,538.16 = 311,755.32 : x
  2. Step 2: Convert to fraction form
    710,827.98/1,066,538.16 = 311,755.32/x
  3. Step 3: Cross multiply
    710,827.98x = 1,066,538.16 × 311,755.32
  4. Step 4: Simplify right side
    710,827.98x = 332,498,945,363.01
  5. Step 5: Solve for x
    x = 332,498,945,363.01/710,827.98
  6. Step 6: Final answer
    x = 467,762.88

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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.