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Finding the Fourth Proportional to 516,970.54, 713,313.70 and 302,069.07

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Solution

The fourth proportional to 516,970.54, 713,313.70 and 302,069.07 is: 416,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,970.54 : 713,313.70 = 302,069.07 : x
  2. Step 2: Convert to fraction form
    516,970.54/713,313.70 = 302,069.07/x
  3. Step 3: Cross multiply
    516,970.54x = 713,313.70 × 302,069.07
  4. Step 4: Simplify right side
    516,970.54x = 215,470,005,977.26
  5. Step 5: Solve for x
    x = 215,470,005,977.26/516,970.54
  6. Step 6: Final answer
    x = 416,793.59

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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.