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Finding the Fourth Proportional to 314,411.20, 471,184.80 and 201,745.60

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Solution

The fourth proportional to 314,411.20, 471,184.80 and 201,745.60 is: 302,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,411.20 : 471,184.80 = 201,745.60 : x
  2. Step 2: Convert to fraction form
    314,411.20/471,184.80 = 201,745.60/x
  3. Step 3: Cross multiply
    314,411.20x = 471,184.80 × 201,745.60
  4. Step 4: Simplify right side
    314,411.20x = 95,059,460,186.88
  5. Step 5: Solve for x
    x = 95,059,460,186.88/314,411.20
  6. Step 6: Final answer
    x = 302,341.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.