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Finding the Fourth Proportional to 470,585.79, 705,566.63 and 171,030.78

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Solution

The fourth proportional to 470,585.79, 705,566.63 and 171,030.78 is: 256,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,585.79 : 705,566.63 = 171,030.78 : x
  2. Step 2: Convert to fraction form
    470,585.79/705,566.63 = 171,030.78/x
  3. Step 3: Cross multiply
    470,585.79x = 705,566.63 × 171,030.78
  4. Step 4: Simplify right side
    470,585.79x = 120,673,611,498.45
  5. Step 5: Solve for x
    x = 120,673,611,498.45/470,585.79
  6. Step 6: Final answer
    x = 256,432.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.