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Finding the Fourth Proportional to 314,008.80, 471,013.20 and 301,761.60

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Solution

The fourth proportional to 314,008.80, 471,013.20 and 301,761.60 is: 452,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,008.80 : 471,013.20 = 301,761.60 : x
  2. Step 2: Convert to fraction form
    314,008.80/471,013.20 = 301,761.60/x
  3. Step 3: Cross multiply
    314,008.80x = 471,013.20 × 301,761.60
  4. Step 4: Simplify right side
    314,008.80x = 142,133,696,853.12
  5. Step 5: Solve for x
    x = 142,133,696,853.12/314,008.80
  6. Step 6: Final answer
    x = 452,642.40

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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.