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Finding the Fourth Proportional to 355,768, 532,796.76 and 203,503.58

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Solution

The fourth proportional to 355,768, 532,796.76 and 203,503.58 is: 304,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,768 : 532,796.76 = 203,503.58 : x
  2. Step 2: Convert to fraction form
    355,768/532,796.76 = 203,503.58/x
  3. Step 3: Cross multiply
    355,768x = 532,796.76 × 203,503.58
  4. Step 4: Simplify right side
    355,768x = 108,426,048,072.40
  5. Step 5: Solve for x
    x = 108,426,048,072.40/355,768
  6. Step 6: Final answer
    x = 304,766.16

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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.