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Finding the Fourth Proportional to 260,016, 390,024 and 63,024

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Solution

The fourth proportional to 260,016, 390,024 and 63,024 is: 94,536

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,016 : 390,024 = 63,024 : x
  2. Step 2: Convert to fraction form
    260,016/390,024 = 63,024/x
  3. Step 3: Cross multiply
    260,016x = 390,024 × 63,024
  4. Step 4: Simplify right side
    260,016x = 24,580,872,576
  5. Step 5: Solve for x
    x = 24,580,872,576/260,016
  6. Step 6: Final answer
    x = 94,536

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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.