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Finding the Fourth Proportional to 564,189.94, 778,377.77 and 370,701.86

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Solution

The fourth proportional to 564,189.94, 778,377.77 and 370,701.86 is: 511,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,189.94 : 778,377.77 = 370,701.86 : x
  2. Step 2: Convert to fraction form
    564,189.94/778,377.77 = 370,701.86/x
  3. Step 3: Cross multiply
    564,189.94x = 778,377.77 × 370,701.86
  4. Step 4: Simplify right side
    564,189.94x = 288,546,087,121.65
  5. Step 5: Solve for x
    x = 288,546,087,121.65/564,189.94
  6. Step 6: Final answer
    x = 511,434.30

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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.