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Finding the Fourth Proportional to 475,923.54, 714,518.86 and 276,387.14

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Solution

The fourth proportional to 475,923.54, 714,518.86 and 276,387.14 is: 414,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,923.54 : 714,518.86 = 276,387.14 : x
  2. Step 2: Convert to fraction form
    475,923.54/714,518.86 = 276,387.14/x
  3. Step 3: Cross multiply
    475,923.54x = 714,518.86 × 276,387.14
  4. Step 4: Simplify right side
    475,923.54x = 197,483,824,191.46
  5. Step 5: Solve for x
    x = 197,483,824,191.46/475,923.54
  6. Step 6: Final answer
    x = 414,948.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.