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Finding the Fourth Proportional to 569,313.56, 785,624.46 and 314,658.20

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Solution

The fourth proportional to 569,313.56, 785,624.46 and 314,658.20 is: 434,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,313.56 : 785,624.46 = 314,658.20 : x
  2. Step 2: Convert to fraction form
    569,313.56/785,624.46 = 314,658.20/x
  3. Step 3: Cross multiply
    569,313.56x = 785,624.46 × 314,658.20
  4. Step 4: Simplify right side
    569,313.56x = 247,203,178,459.57
  5. Step 5: Solve for x
    x = 247,203,178,459.57/569,313.56
  6. Step 6: Final answer
    x = 434,212.70

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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.