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Finding the Fourth Proportional to 470,405.44, 649,164 and 255,547.12

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Solution

The fourth proportional to 470,405.44, 649,164 and 255,547.12 is: 352,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,405.44 : 649,164 = 255,547.12 : x
  2. Step 2: Convert to fraction form
    470,405.44/649,164 = 255,547.12/x
  3. Step 3: Cross multiply
    470,405.44x = 649,164 × 255,547.12
  4. Step 4: Simplify right side
    470,405.44x = 165,891,990,607.68
  5. Step 5: Solve for x
    x = 165,891,990,607.68/470,405.44
  6. Step 6: Final answer
    x = 352,657.47

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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.