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Finding the Fourth Proportional to 405,384.52, 559,588.50 and 362,869.48

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Solution

The fourth proportional to 405,384.52, 559,588.50 and 362,869.48 is: 500,901.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,384.52 : 559,588.50 = 362,869.48 : x
  2. Step 2: Convert to fraction form
    405,384.52/559,588.50 = 362,869.48/x
  3. Step 3: Cross multiply
    405,384.52x = 559,588.50 × 362,869.48
  4. Step 4: Simplify right side
    405,384.52x = 203,057,588,008.98
  5. Step 5: Solve for x
    x = 203,057,588,008.98/405,384.52
  6. Step 6: Final answer
    x = 500,901.19

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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.