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Finding the Fourth Proportional to 260,333.76, 390,054.42 and 174,784.35

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Solution

The fourth proportional to 260,333.76, 390,054.42 and 174,784.35 is: 261,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,333.76 : 390,054.42 = 174,784.35 : x
  2. Step 2: Convert to fraction form
    260,333.76/390,054.42 = 174,784.35/x
  3. Step 3: Cross multiply
    260,333.76x = 390,054.42 × 174,784.35
  4. Step 4: Simplify right side
    260,333.76x = 68,175,408,264.33
  5. Step 5: Solve for x
    x = 68,175,408,264.33/260,333.76
  6. Step 6: Final answer
    x = 261,876.94

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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.