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Finding the Fourth Proportional to 616,201, 921,633.18 and 362,877.64

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Solution

The fourth proportional to 616,201, 921,633.18 and 362,877.64 is: 542,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,201 : 921,633.18 = 362,877.64 : x
  2. Step 2: Convert to fraction form
    616,201/921,633.18 = 362,877.64/x
  3. Step 3: Cross multiply
    616,201x = 921,633.18 × 362,877.64
  4. Step 4: Simplify right side
    616,201x = 334,440,073,304.10
  5. Step 5: Solve for x
    x = 334,440,073,304.10/616,201
  6. Step 6: Final answer
    x = 542,745.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.