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Finding the Fourth Proportional to 367,879.07, 507,656.75 and 214,931.40

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Solution

The fourth proportional to 367,879.07, 507,656.75 and 214,931.40 is: 296,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,879.07 : 507,656.75 = 214,931.40 : x
  2. Step 2: Convert to fraction form
    367,879.07/507,656.75 = 214,931.40/x
  3. Step 3: Cross multiply
    367,879.07x = 507,656.75 × 214,931.40
  4. Step 4: Simplify right side
    367,879.07x = 109,111,374,922.29
  5. Step 5: Solve for x
    x = 109,111,374,922.29/367,879.07
  6. Step 6: Final answer
    x = 296,595.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.