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Finding the Fourth Proportional to 1,022,599, 1,534,123.50 and 302,884.84

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Solution

The fourth proportional to 1,022,599, 1,534,123.50 and 302,884.84 is: 454,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,599 : 1,534,123.50 = 302,884.84 : x
  2. Step 2: Convert to fraction form
    1,022,599/1,534,123.50 = 302,884.84/x
  3. Step 3: Cross multiply
    1,022,599x = 1,534,123.50 × 302,884.84
  4. Step 4: Simplify right side
    1,022,599x = 464,662,750,837.74
  5. Step 5: Solve for x
    x = 464,662,750,837.74/1,022,599
  6. Step 6: Final answer
    x = 454,393.90

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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.