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Finding the Fourth Proportional to 341,439.78, 470,897.70 and 205,448.34

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Solution

The fourth proportional to 341,439.78, 470,897.70 and 205,448.34 is: 283,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,439.78 : 470,897.70 = 205,448.34 : x
  2. Step 2: Convert to fraction form
    341,439.78/470,897.70 = 205,448.34/x
  3. Step 3: Cross multiply
    341,439.78x = 470,897.70 × 205,448.34
  4. Step 4: Simplify right side
    341,439.78x = 96,745,150,774.82
  5. Step 5: Solve for x
    x = 96,745,150,774.82/341,439.78
  6. Step 6: Final answer
    x = 283,344.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.