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Finding the Fourth Proportional to 306,826.36, 460,302.30 and 129,333.40

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Solution

The fourth proportional to 306,826.36, 460,302.30 and 129,333.40 is: 194,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,826.36 : 460,302.30 = 129,333.40 : x
  2. Step 2: Convert to fraction form
    306,826.36/460,302.30 = 129,333.40/x
  3. Step 3: Cross multiply
    306,826.36x = 460,302.30 × 129,333.40
  4. Step 4: Simplify right side
    306,826.36x = 59,532,461,486.82
  5. Step 5: Solve for x
    x = 59,532,461,486.82/306,826.36
  6. Step 6: Final answer
    x = 194,026.55

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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.