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Finding the Fourth Proportional to 306,709.80, 460,064.70 and 96,347.40

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Solution

The fourth proportional to 306,709.80, 460,064.70 and 96,347.40 is: 144,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,709.80 : 460,064.70 = 96,347.40 : x
  2. Step 2: Convert to fraction form
    306,709.80/460,064.70 = 96,347.40/x
  3. Step 3: Cross multiply
    306,709.80x = 460,064.70 × 96,347.40
  4. Step 4: Simplify right side
    306,709.80x = 44,326,037,676.78
  5. Step 5: Solve for x
    x = 44,326,037,676.78/306,709.80
  6. Step 6: Final answer
    x = 144,521.10

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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.