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Finding the Fourth Proportional to 314,865.70, 472,298.55 and 301,743.70

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Solution

The fourth proportional to 314,865.70, 472,298.55 and 301,743.70 is: 452,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,865.70 : 472,298.55 = 301,743.70 : x
  2. Step 2: Convert to fraction form
    314,865.70/472,298.55 = 301,743.70/x
  3. Step 3: Cross multiply
    314,865.70x = 472,298.55 × 301,743.70
  4. Step 4: Simplify right side
    314,865.70x = 142,513,111,981.64
  5. Step 5: Solve for x
    x = 142,513,111,981.64/314,865.70
  6. Step 6: Final answer
    x = 452,615.55

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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.