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Finding the Fourth Proportional to 569,577.42, 785,964.06 and 314,923.14

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Solution

The fourth proportional to 569,577.42, 785,964.06 and 314,923.14 is: 434,564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,577.42 : 785,964.06 = 314,923.14 : x
  2. Step 2: Convert to fraction form
    569,577.42/785,964.06 = 314,923.14/x
  3. Step 3: Cross multiply
    569,577.42x = 785,964.06 × 314,923.14
  4. Step 4: Simplify right side
    569,577.42x = 247,518,269,702.35
  5. Step 5: Solve for x
    x = 247,518,269,702.35/569,577.42
  6. Step 6: Final answer
    x = 434,564.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.