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Finding the Fourth Proportional to 470,897.14, 649,820.13 and 256,037.38

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Solution

The fourth proportional to 470,897.14, 649,820.13 and 256,037.38 is: 353,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.14 : 649,820.13 = 256,037.38 : x
  2. Step 2: Convert to fraction form
    470,897.14/649,820.13 = 256,037.38/x
  3. Step 3: Cross multiply
    470,897.14x = 649,820.13 × 256,037.38
  4. Step 4: Simplify right side
    470,897.14x = 166,378,243,556.46
  5. Step 5: Solve for x
    x = 166,378,243,556.46/470,897.14
  6. Step 6: Final answer
    x = 353,321.84

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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.