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Finding the Fourth Proportional to 470,404.47, 649,163.70 and 255,547.92

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Solution

The fourth proportional to 470,404.47, 649,163.70 and 255,547.92 is: 352,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,404.47 : 649,163.70 = 255,547.92 : x
  2. Step 2: Convert to fraction form
    470,404.47/649,163.70 = 255,547.92/x
  3. Step 3: Cross multiply
    470,404.47x = 649,163.70 × 255,547.92
  4. Step 4: Simplify right side
    470,404.47x = 165,892,433,274.50
  5. Step 5: Solve for x
    x = 165,892,433,274.50/470,404.47
  6. Step 6: Final answer
    x = 352,659.13

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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.