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Finding the Fourth Proportional to 569,497.50, 785,923.02 and 314,865.09

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Solution

The fourth proportional to 569,497.50, 785,923.02 and 314,865.09 is: 434,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,497.50 : 785,923.02 = 314,865.09 : x
  2. Step 2: Convert to fraction form
    569,497.50/785,923.02 = 314,865.09/x
  3. Step 3: Cross multiply
    569,497.50x = 785,923.02 × 314,865.09
  4. Step 4: Simplify right side
    569,497.50x = 247,459,722,425.37
  5. Step 5: Solve for x
    x = 247,459,722,425.37/569,497.50
  6. Step 6: Final answer
    x = 434,522.93

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1.5x scale

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.