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Finding the Fourth Proportional to 488,157, 733,355.64 and 346,351.92

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Solution

The fourth proportional to 488,157, 733,355.64 and 346,351.92 is: 520,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,157 : 733,355.64 = 346,351.92 : x
  2. Step 2: Convert to fraction form
    488,157/733,355.64 = 346,351.92/x
  3. Step 3: Cross multiply
    488,157x = 733,355.64 × 346,351.92
  4. Step 4: Simplify right side
    488,157x = 253,999,133,956.83
  5. Step 5: Solve for x
    x = 253,999,133,956.83/488,157
  6. Step 6: Final answer
    x = 520,322.63

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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.