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Finding the Fourth Proportional to 364,005.80, 545,879.10 and 164,421.80

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Solution

The fourth proportional to 364,005.80, 545,879.10 and 164,421.80 is: 246,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,005.80 : 545,879.10 = 164,421.80 : x
  2. Step 2: Convert to fraction form
    364,005.80/545,879.10 = 164,421.80/x
  3. Step 3: Cross multiply
    364,005.80x = 545,879.10 × 164,421.80
  4. Step 4: Simplify right side
    364,005.80x = 89,754,424,204.38
  5. Step 5: Solve for x
    x = 89,754,424,204.38/364,005.80
  6. Step 6: Final answer
    x = 246,574.16

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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.