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Finding the Fourth Proportional to 470,897.58, 649,851.78 and 256,052.40

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Solution

The fourth proportional to 470,897.58, 649,851.78 and 256,052.40 is: 353,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.58 : 649,851.78 = 256,052.40 : x
  2. Step 2: Convert to fraction form
    470,897.58/649,851.78 = 256,052.40/x
  3. Step 3: Cross multiply
    470,897.58x = 649,851.78 × 256,052.40
  4. Step 4: Simplify right side
    470,897.58x = 166,396,107,913.27
  5. Step 5: Solve for x
    x = 166,396,107,913.27/470,897.58
  6. Step 6: Final answer
    x = 353,359.45

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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.