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Finding the Fourth Proportional to 565,733.61, 780,712.38 and 311,084.79

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Solution

The fourth proportional to 565,733.61, 780,712.38 and 311,084.79 is: 429,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,733.61 : 780,712.38 = 311,084.79 : x
  2. Step 2: Convert to fraction form
    565,733.61/780,712.38 = 311,084.79/x
  3. Step 3: Cross multiply
    565,733.61x = 780,712.38 × 311,084.79
  4. Step 4: Simplify right side
    565,733.61x = 242,867,746,782.70
  5. Step 5: Solve for x
    x = 242,867,746,782.70/565,733.61
  6. Step 6: Final answer
    x = 429,297.01

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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.