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Finding the Fourth Proportional to 537,466.34, 742,009.47 and 356,422.68

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Solution

The fourth proportional to 537,466.34, 742,009.47 and 356,422.68 is: 492,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,466.34 : 742,009.47 = 356,422.68 : x
  2. Step 2: Convert to fraction form
    537,466.34/742,009.47 = 356,422.68/x
  3. Step 3: Cross multiply
    537,466.34x = 742,009.47 × 356,422.68
  4. Step 4: Simplify right side
    537,466.34x = 264,469,008,001.90
  5. Step 5: Solve for x
    x = 264,469,008,001.90/537,466.34
  6. Step 6: Final answer
    x = 492,066.18

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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.