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Finding the Fourth Proportional to 470,873.86, 649,832.52 and 256,009.34

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Solution

The fourth proportional to 470,873.86, 649,832.52 and 256,009.34 is: 353,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,873.86 : 649,832.52 = 256,009.34 : x
  2. Step 2: Convert to fraction form
    470,873.86/649,832.52 = 256,009.34/x
  3. Step 3: Cross multiply
    470,873.86x = 649,832.52 × 256,009.34
  4. Step 4: Simplify right side
    470,873.86x = 166,363,194,555.74
  5. Step 5: Solve for x
    x = 166,363,194,555.74/470,873.86
  6. Step 6: Final answer
    x = 353,307.35

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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.