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Finding the Fourth Proportional to 470,967.44, 649,938.12 and 256,109.84

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Solution

The fourth proportional to 470,967.44, 649,938.12 and 256,109.84 is: 353,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,967.44 : 649,938.12 = 256,109.84 : x
  2. Step 2: Convert to fraction form
    470,967.44/649,938.12 = 256,109.84/x
  3. Step 3: Cross multiply
    470,967.44x = 649,938.12 × 256,109.84
  4. Step 4: Simplify right side
    470,967.44x = 166,455,547,923.10
  5. Step 5: Solve for x
    x = 166,455,547,923.10/470,967.44
  6. Step 6: Final answer
    x = 353,433.24

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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.