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Finding the Fourth Proportional to 570,969, 856,421.10 and 171,601.74

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Solution

The fourth proportional to 570,969, 856,421.10 and 171,601.74 is: 257,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,969 : 856,421.10 = 171,601.74 : x
  2. Step 2: Convert to fraction form
    570,969/856,421.10 = 171,601.74/x
  3. Step 3: Cross multiply
    570,969x = 856,421.10 × 171,601.74
  4. Step 4: Simplify right side
    570,969x = 146,963,350,932.71
  5. Step 5: Solve for x
    x = 146,963,350,932.71/570,969
  6. Step 6: Final answer
    x = 257,392.87

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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.