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Finding the Fourth Proportional to 384,126.81, 575,904.87 and 184,256.88

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Solution

The fourth proportional to 384,126.81, 575,904.87 and 184,256.88 is: 276,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,126.81 : 575,904.87 = 184,256.88 : x
  2. Step 2: Convert to fraction form
    384,126.81/575,904.87 = 184,256.88/x
  3. Step 3: Cross multiply
    384,126.81x = 575,904.87 × 184,256.88
  4. Step 4: Simplify right side
    384,126.81x = 106,114,434,523.01
  5. Step 5: Solve for x
    x = 106,114,434,523.01/384,126.81
  6. Step 6: Final answer
    x = 276,248.45

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1.5x scale

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.