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Finding the Fourth Proportional to 569,180.34, 785,437.97 and 314,515.13

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Solution

The fourth proportional to 569,180.34, 785,437.97 and 314,515.13 is: 434,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,180.34 : 785,437.97 = 314,515.13 : x
  2. Step 2: Convert to fraction form
    569,180.34/785,437.97 = 314,515.13/x
  3. Step 3: Cross multiply
    569,180.34x = 785,437.97 × 314,515.13
  4. Step 4: Simplify right side
    569,180.34x = 247,032,119,741.72
  5. Step 5: Solve for x
    x = 247,032,119,741.72/569,180.34
  6. Step 6: Final answer
    x = 434,013.80

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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.