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Finding the Fourth Proportional to 474,045.24, 710,735.88 and 174,486.96

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Solution

The fourth proportional to 474,045.24, 710,735.88 and 174,486.96 is: 261,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,045.24 : 710,735.88 = 174,486.96 : x
  2. Step 2: Convert to fraction form
    474,045.24/710,735.88 = 174,486.96/x
  3. Step 3: Cross multiply
    474,045.24x = 710,735.88 × 174,486.96
  4. Step 4: Simplify right side
    474,045.24x = 124,014,143,064.13
  5. Step 5: Solve for x
    x = 124,014,143,064.13/474,045.24
  6. Step 6: Final answer
    x = 261,608.24

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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.