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Finding the Fourth Proportional to 377,543.16, 568,896.21 and 312,419.16

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Solution

The fourth proportional to 377,543.16, 568,896.21 and 312,419.16 is: 470,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,543.16 : 568,896.21 = 312,419.16 : x
  2. Step 2: Convert to fraction form
    377,543.16/568,896.21 = 312,419.16/x
  3. Step 3: Cross multiply
    377,543.16x = 568,896.21 × 312,419.16
  4. Step 4: Simplify right side
    377,543.16x = 177,734,076,055.38
  5. Step 5: Solve for x
    x = 177,734,076,055.38/377,543.16
  6. Step 6: Final answer
    x = 470,764.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.