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Finding the Fourth Proportional to 482,992.94, 723,546.93 and 316,275.50

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Solution

The fourth proportional to 482,992.94, 723,546.93 and 316,275.50 is: 473,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,992.94 : 723,546.93 = 316,275.50 : x
  2. Step 2: Convert to fraction form
    482,992.94/723,546.93 = 316,275.50/x
  3. Step 3: Cross multiply
    482,992.94x = 723,546.93 × 316,275.50
  4. Step 4: Simplify right side
    482,992.94x = 228,840,167,059.22
  5. Step 5: Solve for x
    x = 228,840,167,059.22/482,992.94
  6. Step 6: Final answer
    x = 473,796.09

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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.