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Finding the Fourth Proportional to 470,810.07, 649,690.30 and 255,948.25

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Solution

The fourth proportional to 470,810.07, 649,690.30 and 255,948.25 is: 353,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,810.07 : 649,690.30 = 255,948.25 : x
  2. Step 2: Convert to fraction form
    470,810.07/649,690.30 = 255,948.25/x
  3. Step 3: Cross multiply
    470,810.07x = 649,690.30 × 255,948.25
  4. Step 4: Simplify right side
    470,810.07x = 166,287,095,326.98
  5. Step 5: Solve for x
    x = 166,287,095,326.98/470,810.07
  6. Step 6: Final answer
    x = 353,193.58

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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.