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Finding the Fourth Proportional to 401,528.94, 602,265.24 and 188,343.60

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Solution

The fourth proportional to 401,528.94, 602,265.24 and 188,343.60 is: 282,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,528.94 : 602,265.24 = 188,343.60 : x
  2. Step 2: Convert to fraction form
    401,528.94/602,265.24 = 188,343.60/x
  3. Step 3: Cross multiply
    401,528.94x = 602,265.24 × 188,343.60
  4. Step 4: Simplify right side
    401,528.94x = 113,432,803,456.46
  5. Step 5: Solve for x
    x = 113,432,803,456.46/401,528.94
  6. Step 6: Final answer
    x = 282,502.19

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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.