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Finding the Fourth Proportional to 537,713.40, 742,709.34 and 394,246.20

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Solution

The fourth proportional to 537,713.40, 742,709.34 and 394,246.20 is: 544,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,713.40 : 742,709.34 = 394,246.20 : x
  2. Step 2: Convert to fraction form
    537,713.40/742,709.34 = 394,246.20/x
  3. Step 3: Cross multiply
    537,713.40x = 742,709.34 × 394,246.20
  4. Step 4: Simplify right side
    537,713.40x = 292,810,334,999.51
  5. Step 5: Solve for x
    x = 292,810,334,999.51/537,713.40
  6. Step 6: Final answer
    x = 544,547.22

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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.