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Finding the Fourth Proportional to 506,931.70, 699,857.01 and 378,577.90

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Solution

The fourth proportional to 506,931.70, 699,857.01 and 378,577.90 is: 522,655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,931.70 : 699,857.01 = 378,577.90 : x
  2. Step 2: Convert to fraction form
    506,931.70/699,857.01 = 378,577.90/x
  3. Step 3: Cross multiply
    506,931.70x = 699,857.01 × 378,577.90
  4. Step 4: Simplify right side
    506,931.70x = 264,950,397,146.08
  5. Step 5: Solve for x
    x = 264,950,397,146.08/506,931.70
  6. Step 6: Final answer
    x = 522,655.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.