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Finding the Fourth Proportional to 538,459.38, 742,555.74 and 354,368.64

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Solution

The fourth proportional to 538,459.38, 742,555.74 and 354,368.64 is: 488,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,459.38 : 742,555.74 = 354,368.64 : x
  2. Step 2: Convert to fraction form
    538,459.38/742,555.74 = 354,368.64/x
  3. Step 3: Cross multiply
    538,459.38x = 742,555.74 × 354,368.64
  4. Step 4: Simplify right side
    538,459.38x = 263,138,467,707.99
  5. Step 5: Solve for x
    x = 263,138,467,707.99/538,459.38
  6. Step 6: Final answer
    x = 488,687.68

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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.