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Finding the Fourth Proportional to 569,497.44, 785,836.08 and 314,853.60

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Solution

The fourth proportional to 569,497.44, 785,836.08 and 314,853.60 is: 434,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,497.44 : 785,836.08 = 314,853.60 : x
  2. Step 2: Convert to fraction form
    569,497.44/785,836.08 = 314,853.60/x
  3. Step 3: Cross multiply
    569,497.44x = 785,836.08 × 314,853.60
  4. Step 4: Simplify right side
    569,497.44x = 247,423,318,797.89
  5. Step 5: Solve for x
    x = 247,423,318,797.89/569,497.44
  6. Step 6: Final answer
    x = 434,459.05

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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.