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Finding the Fourth Proportional to 310,800.84, 466,269.54 and 184,556.40

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Solution

The fourth proportional to 310,800.84, 466,269.54 and 184,556.40 is: 276,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,800.84 : 466,269.54 = 184,556.40 : x
  2. Step 2: Convert to fraction form
    310,800.84/466,269.54 = 184,556.40/x
  3. Step 3: Cross multiply
    310,800.84x = 466,269.54 × 184,556.40
  4. Step 4: Simplify right side
    310,800.84x = 86,053,027,732.06
  5. Step 5: Solve for x
    x = 86,053,027,732.06/310,800.84
  6. Step 6: Final answer
    x = 276,875.15

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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.