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Finding the Fourth Proportional to 310,740.17, 466,178.49 and 184,495.59

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Solution

The fourth proportional to 310,740.17, 466,178.49 and 184,495.59 is: 276,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,740.17 : 466,178.49 = 184,495.59 : x
  2. Step 2: Convert to fraction form
    310,740.17/466,178.49 = 184,495.59/x
  3. Step 3: Cross multiply
    310,740.17x = 466,178.49 × 184,495.59
  4. Step 4: Simplify right side
    310,740.17x = 86,007,875,557.86
  5. Step 5: Solve for x
    x = 86,007,875,557.86/310,740.17
  6. Step 6: Final answer
    x = 276,783.90

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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.