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Finding the Fourth Proportional to 488,048.94, 732,051.84 and 133,063

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Solution

The fourth proportional to 488,048.94, 732,051.84 and 133,063 is: 199,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,048.94 : 732,051.84 = 133,063 : x
  2. Step 2: Convert to fraction form
    488,048.94/732,051.84 = 133,063/x
  3. Step 3: Cross multiply
    488,048.94x = 732,051.84 × 133,063
  4. Step 4: Simplify right side
    488,048.94x = 97,409,013,985.92
  5. Step 5: Solve for x
    x = 97,409,013,985.92/488,048.94
  6. Step 6: Final answer
    x = 199,588.62

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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.