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Finding the Fourth Proportional to 412,812.76, 569,686.32 and 229,054.68

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Solution

The fourth proportional to 412,812.76, 569,686.32 and 229,054.68 is: 316,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,812.76 : 569,686.32 = 229,054.68 : x
  2. Step 2: Convert to fraction form
    412,812.76/569,686.32 = 229,054.68/x
  3. Step 3: Cross multiply
    412,812.76x = 569,686.32 × 229,054.68
  4. Step 4: Simplify right side
    412,812.76x = 130,489,317,727.98
  5. Step 5: Solve for x
    x = 130,489,317,727.98/412,812.76
  6. Step 6: Final answer
    x = 316,098.07

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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.