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Finding the Fourth Proportional to 291,502.49, 437,312.51 and 123,023.00

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Solution

The fourth proportional to 291,502.49, 437,312.51 and 123,023.00 is: 184,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,502.49 : 437,312.51 = 123,023.00 : x
  2. Step 2: Convert to fraction form
    291,502.49/437,312.51 = 123,023.00/x
  3. Step 3: Cross multiply
    291,502.49x = 437,312.51 × 123,023.00
  4. Step 4: Simplify right side
    291,502.49x = 53,799,494,731.17
  5. Step 5: Solve for x
    x = 53,799,494,731.17/291,502.49
  6. Step 6: Final answer
    x = 184,559.30

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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.