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Finding the Fourth Proportional to 364,262.94, 546,345.20 and 98,039.43

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Solution

The fourth proportional to 364,262.94, 546,345.20 and 98,039.43 is: 147,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,262.94 : 546,345.20 = 98,039.43 : x
  2. Step 2: Convert to fraction form
    364,262.94/546,345.20 = 98,039.43/x
  3. Step 3: Cross multiply
    364,262.94x = 546,345.20 × 98,039.43
  4. Step 4: Simplify right side
    364,262.94x = 53,563,371,991.24
  5. Step 5: Solve for x
    x = 53,563,371,991.24/364,262.94
  6. Step 6: Final answer
    x = 147,045.90

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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.