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Finding the Fourth Proportional to 314,865.80, 472,298.70 and 301,743.80

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Solution

The fourth proportional to 314,865.80, 472,298.70 and 301,743.80 is: 452,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,865.80 : 472,298.70 = 301,743.80 : x
  2. Step 2: Convert to fraction form
    314,865.80/472,298.70 = 301,743.80/x
  3. Step 3: Cross multiply
    314,865.80x = 472,298.70 × 301,743.80
  4. Step 4: Simplify right side
    314,865.80x = 142,513,204,473.06
  5. Step 5: Solve for x
    x = 142,513,204,473.06/314,865.80
  6. Step 6: Final answer
    x = 452,615.70

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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.