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Finding the Fourth Proportional to 538,031.60, 742,564.34 and 408,757.35

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Solution

The fourth proportional to 538,031.60, 742,564.34 and 408,757.35 is: 564,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,031.60 : 742,564.34 = 408,757.35 : x
  2. Step 2: Convert to fraction form
    538,031.60/742,564.34 = 408,757.35/x
  3. Step 3: Cross multiply
    538,031.60x = 742,564.34 × 408,757.35
  4. Step 4: Simplify right side
    538,031.60x = 303,528,629,779.11
  5. Step 5: Solve for x
    x = 303,528,629,779.11/538,031.60
  6. Step 6: Final answer
    x = 564,146.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.