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Finding the Fourth Proportional to 402,084.96, 602,986.32 and 117,696.96

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Solution

The fourth proportional to 402,084.96, 602,986.32 and 117,696.96 is: 176,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,084.96 : 602,986.32 = 117,696.96 : x
  2. Step 2: Convert to fraction form
    402,084.96/602,986.32 = 117,696.96/x
  3. Step 3: Cross multiply
    402,084.96x = 602,986.32 × 117,696.96
  4. Step 4: Simplify right side
    402,084.96x = 70,969,656,785.59
  5. Step 5: Solve for x
    x = 70,969,656,785.59/402,084.96
  6. Step 6: Final answer
    x = 176,504.13

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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.