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Finding the Fourth Proportional to 657,130.70, 986,084.85 and 433,138.70

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Solution

The fourth proportional to 657,130.70, 986,084.85 and 433,138.70 is: 649,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,130.70 : 986,084.85 = 433,138.70 : x
  2. Step 2: Convert to fraction form
    657,130.70/986,084.85 = 433,138.70/x
  3. Step 3: Cross multiply
    657,130.70x = 986,084.85 × 433,138.70
  4. Step 4: Simplify right side
    657,130.70x = 427,111,510,018.70
  5. Step 5: Solve for x
    x = 427,111,510,018.70/657,130.70
  6. Step 6: Final answer
    x = 649,964.32

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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.