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Finding the Fourth Proportional to 569,605.58, 785,941.91 and 314,907.50

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Solution

The fourth proportional to 569,605.58, 785,941.91 and 314,907.50 is: 434,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,605.58 : 785,941.91 = 314,907.50 : x
  2. Step 2: Convert to fraction form
    569,605.58/785,941.91 = 314,907.50/x
  3. Step 3: Cross multiply
    569,605.58x = 785,941.91 × 314,907.50
  4. Step 4: Simplify right side
    569,605.58x = 247,499,002,023.33
  5. Step 5: Solve for x
    x = 247,499,002,023.33/569,605.58
  6. Step 6: Final answer
    x = 434,509.44

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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.