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Finding the Fourth Proportional to 569,046.69, 785,315.93 and 314,392.41

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Solution

The fourth proportional to 569,046.69, 785,315.93 and 314,392.41 is: 433,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,046.69 : 785,315.93 = 314,392.41 : x
  2. Step 2: Convert to fraction form
    569,046.69/785,315.93 = 314,392.41/x
  3. Step 3: Cross multiply
    569,046.69x = 785,315.93 × 314,392.41
  4. Step 4: Simplify right side
    569,046.69x = 246,897,366,272.13
  5. Step 5: Solve for x
    x = 246,897,366,272.13/569,046.69
  6. Step 6: Final answer
    x = 433,878.93

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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.