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Finding the Fourth Proportional to 470,353, 649,094.12 and 266,398.84

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Solution

The fourth proportional to 470,353, 649,094.12 and 266,398.84 is: 367,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,353 : 649,094.12 = 266,398.84 : x
  2. Step 2: Convert to fraction form
    470,353/649,094.12 = 266,398.84/x
  3. Step 3: Cross multiply
    470,353x = 649,094.12 × 266,398.84
  4. Step 4: Simplify right side
    470,353x = 172,917,920,618.82
  5. Step 5: Solve for x
    x = 172,917,920,618.82/470,353
  6. Step 6: Final answer
    x = 367,634.35

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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.