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Finding the Fourth Proportional to 565,862.04, 780,876.72 and 311,217.48

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Solution

The fourth proportional to 565,862.04, 780,876.72 and 311,217.48 is: 429,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,862.04 : 780,876.72 = 311,217.48 : x
  2. Step 2: Convert to fraction form
    565,862.04/780,876.72 = 311,217.48/x
  3. Step 3: Cross multiply
    565,862.04x = 780,876.72 × 311,217.48
  4. Step 4: Simplify right side
    565,862.04x = 243,022,484,989.07
  5. Step 5: Solve for x
    x = 243,022,484,989.07/565,862.04
  6. Step 6: Final answer
    x = 429,473.03

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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.