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Finding the Fourth Proportional to 260,064.72, 390,069.14 and 176,362.16

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Solution

The fourth proportional to 260,064.72, 390,069.14 and 176,362.16 is: 264,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,064.72 : 390,069.14 = 176,362.16 : x
  2. Step 2: Convert to fraction form
    260,064.72/390,069.14 = 176,362.16/x
  3. Step 3: Cross multiply
    260,064.72x = 390,069.14 × 176,362.16
  4. Step 4: Simplify right side
    260,064.72x = 68,793,433,247.59
  5. Step 5: Solve for x
    x = 68,793,433,247.59/260,064.72
  6. Step 6: Final answer
    x = 264,524.28

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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.