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Finding the Fourth Proportional to 946,394, 1,418,891.16 and 572,333.84

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Solution

The fourth proportional to 946,394, 1,418,891.16 and 572,333.84 is: 858,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,394 : 1,418,891.16 = 572,333.84 : x
  2. Step 2: Convert to fraction form
    946,394/1,418,891.16 = 572,333.84/x
  3. Step 3: Cross multiply
    946,394x = 1,418,891.16 × 572,333.84
  4. Step 4: Simplify right side
    946,394x = 812,079,426,144.85
  5. Step 5: Solve for x
    x = 812,079,426,144.85/946,394
  6. Step 6: Final answer
    x = 858,077.53

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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.