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Finding the Fourth Proportional to 565,518.38, 780,395.58 and 310,867.74

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Solution

The fourth proportional to 565,518.38, 780,395.58 and 310,867.74 is: 428,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,518.38 : 780,395.58 = 310,867.74 : x
  2. Step 2: Convert to fraction form
    565,518.38/780,395.58 = 310,867.74/x
  3. Step 3: Cross multiply
    565,518.38x = 780,395.58 × 310,867.74
  4. Step 4: Simplify right side
    565,518.38x = 242,599,810,260.59
  5. Step 5: Solve for x
    x = 242,599,810,260.59/565,518.38
  6. Step 6: Final answer
    x = 428,986.61

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Why These Related Problems?

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