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Finding the Fourth Proportional to 357,764.37, 493,194.74 and 249,999.81

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Solution

The fourth proportional to 357,764.37, 493,194.74 and 249,999.81 is: 344,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,764.37 : 493,194.74 = 249,999.81 : x
  2. Step 2: Convert to fraction form
    357,764.37/493,194.74 = 249,999.81/x
  3. Step 3: Cross multiply
    357,764.37x = 493,194.74 × 249,999.81
  4. Step 4: Simplify right side
    357,764.37x = 123,298,590,043.00
  5. Step 5: Solve for x
    x = 123,298,590,043.00/357,764.37
  6. Step 6: Final answer
    x = 344,636.30

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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.