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Finding the Fourth Proportional to 474,077.71, 710,784.32 and 174,519.26

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Solution

The fourth proportional to 474,077.71, 710,784.32 and 174,519.26 is: 261,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,077.71 : 710,784.32 = 174,519.26 : x
  2. Step 2: Convert to fraction form
    474,077.71/710,784.32 = 174,519.26/x
  3. Step 3: Cross multiply
    474,077.71x = 710,784.32 × 174,519.26
  4. Step 4: Simplify right side
    474,077.71x = 124,045,551,784.93
  5. Step 5: Solve for x
    x = 124,045,551,784.93/474,077.71
  6. Step 6: Final answer
    x = 261,656.58

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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.