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Finding the Fourth Proportional to 333,134, 459,946.68 and 197,211.68

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Solution

The fourth proportional to 333,134, 459,946.68 and 197,211.68 is: 272,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,134 : 459,946.68 = 197,211.68 : x
  2. Step 2: Convert to fraction form
    333,134/459,946.68 = 197,211.68/x
  3. Step 3: Cross multiply
    333,134x = 459,946.68 × 197,211.68
  4. Step 4: Simplify right side
    333,134x = 90,706,857,473.22
  5. Step 5: Solve for x
    x = 90,706,857,473.22/333,134
  6. Step 6: Final answer
    x = 272,283.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.