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Finding the Fourth Proportional to 946,398, 1,418,897.16 and 572,337.84

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Solution

The fourth proportional to 946,398, 1,418,897.16 and 572,337.84 is: 858,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,398 : 1,418,897.16 = 572,337.84 : x
  2. Step 2: Convert to fraction form
    946,398/1,418,897.16 = 572,337.84/x
  3. Step 3: Cross multiply
    946,398x = 1,418,897.16 × 572,337.84
  4. Step 4: Simplify right side
    946,398x = 812,088,535,736.53
  5. Step 5: Solve for x
    x = 812,088,535,736.53/946,398
  6. Step 6: Final answer
    x = 858,083.53

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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.