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Finding the Fourth Proportional to 632,497.14, 948,872.48 and 233,139.60

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Solution

The fourth proportional to 632,497.14, 948,872.48 and 233,139.60 is: 349,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,497.14 : 948,872.48 = 233,139.60 : x
  2. Step 2: Convert to fraction form
    632,497.14/948,872.48 = 233,139.60/x
  3. Step 3: Cross multiply
    632,497.14x = 948,872.48 × 233,139.60
  4. Step 4: Simplify right side
    632,497.14x = 221,219,749,272.51
  5. Step 5: Solve for x
    x = 221,219,749,272.51/632,497.14
  6. Step 6: Final answer
    x = 349,756.13

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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.