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Finding the Fourth Proportional to 933,783.80, 1,401,113.14 and 460,210.82

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Solution

The fourth proportional to 933,783.80, 1,401,113.14 and 460,210.82 is: 690,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,783.80 : 1,401,113.14 = 460,210.82 : x
  2. Step 2: Convert to fraction form
    933,783.80/1,401,113.14 = 460,210.82/x
  3. Step 3: Cross multiply
    933,783.80x = 1,401,113.14 × 460,210.82
  4. Step 4: Simplify right side
    933,783.80x = 644,807,427,072.18
  5. Step 5: Solve for x
    x = 644,807,427,072.18/933,783.80
  6. Step 6: Final answer
    x = 690,531.82

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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.