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Finding the Fourth Proportional to 632,196, 948,097.17 and 211,373.46

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Solution

The fourth proportional to 632,196, 948,097.17 and 211,373.46 is: 316,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,196 : 948,097.17 = 211,373.46 : x
  2. Step 2: Convert to fraction form
    632,196/948,097.17 = 211,373.46/x
  3. Step 3: Cross multiply
    632,196x = 948,097.17 × 211,373.46
  4. Step 4: Simplify right side
    632,196x = 200,402,579,239.11
  5. Step 5: Solve for x
    x = 200,402,579,239.11/632,196
  6. Step 6: Final answer
    x = 316,994.38

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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.