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Finding the Fourth Proportional to 460,258.40, 635,163.72 and 259,054.40

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Solution

The fourth proportional to 460,258.40, 635,163.72 and 259,054.40 is: 357,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,258.40 : 635,163.72 = 259,054.40 : x
  2. Step 2: Convert to fraction form
    460,258.40/635,163.72 = 259,054.40/x
  3. Step 3: Cross multiply
    460,258.40x = 635,163.72 × 259,054.40
  4. Step 4: Simplify right side
    460,258.40x = 164,541,956,386.37
  5. Step 5: Solve for x
    x = 164,541,956,386.37/460,258.40
  6. Step 6: Final answer
    x = 357,499.08

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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.