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Finding the Fourth Proportional to 410,928.72, 616,386.42 and 158,264.64

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Solution

The fourth proportional to 410,928.72, 616,386.42 and 158,264.64 is: 237,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,928.72 : 616,386.42 = 158,264.64 : x
  2. Step 2: Convert to fraction form
    410,928.72/616,386.42 = 158,264.64/x
  3. Step 3: Cross multiply
    410,928.72x = 616,386.42 × 158,264.64
  4. Step 4: Simplify right side
    410,928.72x = 97,552,174,862.19
  5. Step 5: Solve for x
    x = 97,552,174,862.19/410,928.72
  6. Step 6: Final answer
    x = 237,394.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.