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Finding the Fourth Proportional to 477,473.16, 658,692.06 and 286,154.40

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Solution

The fourth proportional to 477,473.16, 658,692.06 and 286,154.40 is: 394,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,473.16 : 658,692.06 = 286,154.40 : x
  2. Step 2: Convert to fraction form
    477,473.16/658,692.06 = 286,154.40/x
  3. Step 3: Cross multiply
    477,473.16x = 658,692.06 × 286,154.40
  4. Step 4: Simplify right side
    477,473.16x = 188,487,631,214.06
  5. Step 5: Solve for x
    x = 188,487,631,214.06/477,473.16
  6. Step 6: Final answer
    x = 394,760.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.