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Finding the Fourth Proportional to 565,513.12, 780,388.34 and 310,862.48

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Solution

The fourth proportional to 565,513.12, 780,388.34 and 310,862.48 is: 428,979.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,513.12 : 780,388.34 = 310,862.48 : x
  2. Step 2: Convert to fraction form
    565,513.12/780,388.34 = 310,862.48/x
  3. Step 3: Cross multiply
    565,513.12x = 780,388.34 × 310,862.48
  4. Step 4: Simplify right side
    565,513.12x = 242,593,457,463.61
  5. Step 5: Solve for x
    x = 242,593,457,463.61/565,513.12
  6. Step 6: Final answer
    x = 428,979.36

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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.