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Finding the Fourth Proportional to 344,048.76, 515,810.52 and 194,457.96

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Solution

The fourth proportional to 344,048.76, 515,810.52 and 194,457.96 is: 291,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,048.76 : 515,810.52 = 194,457.96 : x
  2. Step 2: Convert to fraction form
    344,048.76/515,810.52 = 194,457.96/x
  3. Step 3: Cross multiply
    344,048.76x = 515,810.52 × 194,457.96
  4. Step 4: Simplify right side
    344,048.76x = 100,303,461,465.74
  5. Step 5: Solve for x
    x = 100,303,461,465.74/344,048.76
  6. Step 6: Final answer
    x = 291,538.51

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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.