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Finding the Fourth Proportional to 470,904.28, 706,670.50 and 171,384.78

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Solution

The fourth proportional to 470,904.28, 706,670.50 and 171,384.78 is: 257,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,904.28 : 706,670.50 = 171,384.78 : x
  2. Step 2: Convert to fraction form
    470,904.28/706,670.50 = 171,384.78/x
  3. Step 3: Cross multiply
    470,904.28x = 706,670.50 × 171,384.78
  4. Step 4: Simplify right side
    470,904.28x = 121,112,563,784.71
  5. Step 5: Solve for x
    x = 121,112,563,784.71/470,904.28
  6. Step 6: Final answer
    x = 257,191.47

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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.