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Finding the Fourth Proportional to 460,078.37, 690,258.40 and 235,597.74

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Solution

The fourth proportional to 460,078.37, 690,258.40 and 235,597.74 is: 353,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,078.37 : 690,258.40 = 235,597.74 : x
  2. Step 2: Convert to fraction form
    460,078.37/690,258.40 = 235,597.74/x
  3. Step 3: Cross multiply
    460,078.37x = 690,258.40 × 235,597.74
  4. Step 4: Simplify right side
    460,078.37x = 162,623,317,878.03
  5. Step 5: Solve for x
    x = 162,623,317,878.03/460,078.37
  6. Step 6: Final answer
    x = 353,468.74

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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.