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Finding the Fourth Proportional to 316,457.78, 436,723.74 and 180,513.86

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Solution

The fourth proportional to 316,457.78, 436,723.74 and 180,513.86 is: 249,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,457.78 : 436,723.74 = 180,513.86 : x
  2. Step 2: Convert to fraction form
    316,457.78/436,723.74 = 180,513.86/x
  3. Step 3: Cross multiply
    316,457.78x = 436,723.74 × 180,513.86
  4. Step 4: Simplify right side
    316,457.78x = 78,834,685,877.42
  5. Step 5: Solve for x
    x = 78,834,685,877.42/316,457.78
  6. Step 6: Final answer
    x = 249,115.97

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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.