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Finding the Fourth Proportional to 567,877.94, 783,643.30 and 313,222.58

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Solution

The fourth proportional to 567,877.94, 783,643.30 and 313,222.58 is: 432,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,877.94 : 783,643.30 = 313,222.58 : x
  2. Step 2: Convert to fraction form
    567,877.94/783,643.30 = 313,222.58/x
  3. Step 3: Cross multiply
    567,877.94x = 783,643.30 × 313,222.58
  4. Step 4: Simplify right side
    567,877.94x = 245,454,771,524.44
  5. Step 5: Solve for x
    x = 245,454,771,524.44/567,877.94
  6. Step 6: Final answer
    x = 432,231.57

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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.