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Finding the Fourth Proportional to 258,894.40, 357,296.16 and 151,522.24

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Solution

The fourth proportional to 258,894.40, 357,296.16 and 151,522.24 is: 209,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,894.40 : 357,296.16 = 151,522.24 : x
  2. Step 2: Convert to fraction form
    258,894.40/357,296.16 = 151,522.24/x
  3. Step 3: Cross multiply
    258,894.40x = 357,296.16 × 151,522.24
  4. Step 4: Simplify right side
    258,894.40x = 54,138,314,506.60
  5. Step 5: Solve for x
    x = 54,138,314,506.60/258,894.40
  6. Step 6: Final answer
    x = 209,113.50

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1.5x scale

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.