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Finding the Fourth Proportional to 342,023.50, 512,814.12 and 184,365.10

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Solution

The fourth proportional to 342,023.50, 512,814.12 and 184,365.10 is: 276,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,023.50 : 512,814.12 = 184,365.10 : x
  2. Step 2: Convert to fraction form
    342,023.50/512,814.12 = 184,365.10/x
  3. Step 3: Cross multiply
    342,023.50x = 512,814.12 × 184,365.10
  4. Step 4: Simplify right side
    342,023.50x = 94,545,026,515.21
  5. Step 5: Solve for x
    x = 94,545,026,515.21/342,023.50
  6. Step 6: Final answer
    x = 276,428.45

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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.