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Finding the Fourth Proportional to 402,226.40, 601,784.40 and 262,258.40

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Solution

The fourth proportional to 402,226.40, 601,784.40 and 262,258.40 is: 392,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,226.40 : 601,784.40 = 262,258.40 : x
  2. Step 2: Convert to fraction form
    402,226.40/601,784.40 = 262,258.40/x
  3. Step 3: Cross multiply
    402,226.40x = 601,784.40 × 262,258.40
  4. Step 4: Simplify right side
    402,226.40x = 157,823,013,888.96
  5. Step 5: Solve for x
    x = 157,823,013,888.96/402,226.40
  6. Step 6: Final answer
    x = 392,373.58

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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.