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Finding the Fourth Proportional to 565,705, 780,694.77 and 311,050.72

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Solution

The fourth proportional to 565,705, 780,694.77 and 311,050.72 is: 429,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,705 : 780,694.77 = 311,050.72 : x
  2. Step 2: Convert to fraction form
    565,705/780,694.77 = 311,050.72/x
  3. Step 3: Cross multiply
    565,705x = 780,694.77 × 311,050.72
  4. Step 4: Simplify right side
    565,705x = 242,835,670,308.73
  5. Step 5: Solve for x
    x = 242,835,670,308.73/565,705
  6. Step 6: Final answer
    x = 429,262.02

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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.