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Finding the Fourth Proportional to 565,454.71, 780,306.78 and 310,803.67

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Solution

The fourth proportional to 565,454.71, 780,306.78 and 310,803.67 is: 428,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,454.71 : 780,306.78 = 310,803.67 : x
  2. Step 2: Convert to fraction form
    565,454.71/780,306.78 = 310,803.67/x
  3. Step 3: Cross multiply
    565,454.71x = 780,306.78 × 310,803.67
  4. Step 4: Simplify right side
    565,454.71x = 242,522,210,949.88
  5. Step 5: Solve for x
    x = 242,522,210,949.88/565,454.71
  6. Step 6: Final answer
    x = 428,897.68

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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.