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Finding the Fourth Proportional to 309,587.84, 464,302.76 and 96,314.08

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Solution

The fourth proportional to 309,587.84, 464,302.76 and 96,314.08 is: 144,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,587.84 : 464,302.76 = 96,314.08 : x
  2. Step 2: Convert to fraction form
    309,587.84/464,302.76 = 96,314.08/x
  3. Step 3: Cross multiply
    309,587.84x = 464,302.76 × 96,314.08
  4. Step 4: Simplify right side
    309,587.84x = 44,718,893,170.86
  5. Step 5: Solve for x
    x = 44,718,893,170.86/309,587.84
  6. Step 6: Final answer
    x = 144,446.54

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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.