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Finding the Fourth Proportional to 470,783.59, 649,673.69 and 255,929.06

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Solution

The fourth proportional to 470,783.59, 649,673.69 and 255,929.06 is: 353,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,783.59 : 649,673.69 = 255,929.06 : x
  2. Step 2: Convert to fraction form
    470,783.59/649,673.69 = 255,929.06/x
  3. Step 3: Cross multiply
    470,783.59x = 649,673.69 × 255,929.06
  4. Step 4: Simplify right side
    470,783.59x = 166,270,377,132.97
  5. Step 5: Solve for x
    x = 166,270,377,132.97/470,783.59
  6. Step 6: Final answer
    x = 353,177.94

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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.