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Finding the Fourth Proportional to 314,256.80, 471,385.20 and 202,282.40

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Solution

The fourth proportional to 314,256.80, 471,385.20 and 202,282.40 is: 303,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,256.80 : 471,385.20 = 202,282.40 : x
  2. Step 2: Convert to fraction form
    314,256.80/471,385.20 = 202,282.40/x
  3. Step 3: Cross multiply
    314,256.80x = 471,385.20 × 202,282.40
  4. Step 4: Simplify right side
    314,256.80x = 95,352,929,580.48
  5. Step 5: Solve for x
    x = 95,352,929,580.48/314,256.80
  6. Step 6: Final answer
    x = 303,423.60

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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.