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Finding the Fourth Proportional to 412,722.47, 569,315.71 and 259,518.10

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Solution

The fourth proportional to 412,722.47, 569,315.71 and 259,518.10 is: 357,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,722.47 : 569,315.71 = 259,518.10 : x
  2. Step 2: Convert to fraction form
    412,722.47/569,315.71 = 259,518.10/x
  3. Step 3: Cross multiply
    412,722.47x = 569,315.71 × 259,518.10
  4. Step 4: Simplify right side
    412,722.47x = 147,747,731,359.35
  5. Step 5: Solve for x
    x = 147,747,731,359.35/412,722.47
  6. Step 6: Final answer
    x = 357,983.25

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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.