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Finding the Fourth Proportional to 315,931.94, 435,986.05 and 172,692.56

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Solution

The fourth proportional to 315,931.94, 435,986.05 and 172,692.56 is: 238,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,931.94 : 435,986.05 = 172,692.56 : x
  2. Step 2: Convert to fraction form
    315,931.94/435,986.05 = 172,692.56/x
  3. Step 3: Cross multiply
    315,931.94x = 435,986.05 × 172,692.56
  4. Step 4: Simplify right side
    315,931.94x = 75,291,544,055.40
  5. Step 5: Solve for x
    x = 75,291,544,055.40/315,931.94
  6. Step 6: Final answer
    x = 238,315.71

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