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Finding the Fourth Proportional to 531,994.48, 734,152.08 and 341,007.76

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Solution

The fourth proportional to 531,994.48, 734,152.08 and 341,007.76 is: 470,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,994.48 : 734,152.08 = 341,007.76 : x
  2. Step 2: Convert to fraction form
    531,994.48/734,152.08 = 341,007.76/x
  3. Step 3: Cross multiply
    531,994.48x = 734,152.08 × 341,007.76
  4. Step 4: Simplify right side
    531,994.48x = 250,351,556,300.14
  5. Step 5: Solve for x
    x = 250,351,556,300.14/531,994.48
  6. Step 6: Final answer
    x = 470,590.51

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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.