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Finding the Fourth Proportional to 946,392, 1,418,888.16 and 572,331.84

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Solution

The fourth proportional to 946,392, 1,418,888.16 and 572,331.84 is: 858,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,392 : 1,418,888.16 = 572,331.84 : x
  2. Step 2: Convert to fraction form
    946,392/1,418,888.16 = 572,331.84/x
  3. Step 3: Cross multiply
    946,392x = 1,418,888.16 × 572,331.84
  4. Step 4: Simplify right side
    946,392x = 812,074,871,367.01
  5. Step 5: Solve for x
    x = 812,074,871,367.01/946,392
  6. Step 6: Final answer
    x = 858,074.53

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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.