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Finding the Fourth Proportional to 538,160.63, 742,628.25 and 296,429.67

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Solution

The fourth proportional to 538,160.63, 742,628.25 and 296,429.67 is: 409,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,160.63 : 742,628.25 = 296,429.67 : x
  2. Step 2: Convert to fraction form
    538,160.63/742,628.25 = 296,429.67/x
  3. Step 3: Cross multiply
    538,160.63x = 742,628.25 × 296,429.67
  4. Step 4: Simplify right side
    538,160.63x = 220,137,047,080.18
  5. Step 5: Solve for x
    x = 220,137,047,080.18/538,160.63
  6. Step 6: Final answer
    x = 409,054.54

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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.