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Finding the Fourth Proportional to 364,118.50, 502,277.73 and 227,916.01

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Solution

The fourth proportional to 364,118.50, 502,277.73 and 227,916.01 is: 314,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,118.50 : 502,277.73 = 227,916.01 : x
  2. Step 2: Convert to fraction form
    364,118.50/502,277.73 = 227,916.01/x
  3. Step 3: Cross multiply
    364,118.50x = 502,277.73 × 227,916.01
  4. Step 4: Simplify right side
    364,118.50x = 114,477,136,133.46
  5. Step 5: Solve for x
    x = 114,477,136,133.46/364,118.50
  6. Step 6: Final answer
    x = 314,395.28

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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.