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Finding the Fourth Proportional to 411,258.47, 616,823.91 and 158,657.23

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Solution

The fourth proportional to 411,258.47, 616,823.91 and 158,657.23 is: 237,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,258.47 : 616,823.91 = 158,657.23 : x
  2. Step 2: Convert to fraction form
    411,258.47/616,823.91 = 158,657.23/x
  3. Step 3: Cross multiply
    411,258.47x = 616,823.91 × 158,657.23
  4. Step 4: Simplify right side
    411,258.47x = 97,863,573,729.40
  5. Step 5: Solve for x
    x = 97,863,573,729.40/411,258.47
  6. Step 6: Final answer
    x = 237,961.24

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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.