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Finding the Fourth Proportional to 461,496, 692,317.16 and 195,258.52

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Solution

The fourth proportional to 461,496, 692,317.16 and 195,258.52 is: 292,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,496 : 692,317.16 = 195,258.52 : x
  2. Step 2: Convert to fraction form
    461,496/692,317.16 = 195,258.52/x
  3. Step 3: Cross multiply
    461,496x = 692,317.16 × 195,258.52
  4. Step 4: Simplify right side
    461,496x = 135,180,824,032.20
  5. Step 5: Solve for x
    x = 135,180,824,032.20/461,496
  6. Step 6: Final answer
    x = 292,918.73

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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.