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Finding the Fourth Proportional to 470,543.51, 649,354.15 and 255,683.57

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Solution

The fourth proportional to 470,543.51, 649,354.15 and 255,683.57 is: 352,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,543.51 : 649,354.15 = 255,683.57 : x
  2. Step 2: Convert to fraction form
    470,543.51/649,354.15 = 255,683.57/x
  3. Step 3: Cross multiply
    470,543.51x = 649,354.15 × 255,683.57
  4. Step 4: Simplify right side
    470,543.51x = 166,029,187,991.77
  5. Step 5: Solve for x
    x = 166,029,187,991.77/470,543.51
  6. Step 6: Final answer
    x = 352,845.56

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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.