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Finding the Fourth Proportional to 470,414.59, 649,172.91 and 255,554.82

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Solution

The fourth proportional to 470,414.59, 649,172.91 and 255,554.82 is: 352,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,414.59 : 649,172.91 = 255,554.82 : x
  2. Step 2: Convert to fraction form
    470,414.59/649,172.91 = 255,554.82/x
  3. Step 3: Cross multiply
    470,414.59x = 649,172.91 × 255,554.82
  4. Step 4: Simplify right side
    470,414.59x = 165,899,266,791.81
  5. Step 5: Solve for x
    x = 165,899,266,791.81/470,414.59
  6. Step 6: Final answer
    x = 352,666.08

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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.