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Finding the Fourth Proportional to 533,658, 799,204.14 and 305,261.38

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Solution

The fourth proportional to 533,658, 799,204.14 and 305,261.38 is: 457,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,658 : 799,204.14 = 305,261.38 : x
  2. Step 2: Convert to fraction form
    533,658/799,204.14 = 305,261.38/x
  3. Step 3: Cross multiply
    533,658x = 799,204.14 × 305,261.38
  4. Step 4: Simplify right side
    533,658x = 243,966,158,678.11
  5. Step 5: Solve for x
    x = 243,966,158,678.11/533,658
  6. Step 6: Final answer
    x = 457,158.25

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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.