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Finding the Fourth Proportional to 565,915.36, 780,963.60 and 311,285.92

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Solution

The fourth proportional to 565,915.36, 780,963.60 and 311,285.92 is: 429,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,915.36 : 780,963.60 = 311,285.92 : x
  2. Step 2: Convert to fraction form
    565,915.36/780,963.60 = 311,285.92/x
  3. Step 3: Cross multiply
    565,915.36x = 780,963.60 × 311,285.92
  4. Step 4: Simplify right side
    565,915.36x = 243,102,972,712.51
  5. Step 5: Solve for x
    x = 243,102,972,712.51/565,915.36
  6. Step 6: Final answer
    x = 429,574.79

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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.