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Finding the Fourth Proportional to 470,683.30, 649,549.53 and 255,823.30

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Solution

The fourth proportional to 470,683.30, 649,549.53 and 255,823.30 is: 353,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,683.30 : 649,549.53 = 255,823.30 : x
  2. Step 2: Convert to fraction form
    470,683.30/649,549.53 = 255,823.30/x
  3. Step 3: Cross multiply
    470,683.30x = 649,549.53 × 255,823.30
  4. Step 4: Simplify right side
    470,683.30x = 166,169,904,278.05
  5. Step 5: Solve for x
    x = 166,169,904,278.05/470,683.30
  6. Step 6: Final answer
    x = 353,039.73

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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.