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Finding the Fourth Proportional to 316,458.08, 436,714.86 and 180,498.92

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Solution

The fourth proportional to 316,458.08, 436,714.86 and 180,498.92 is: 249,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,458.08 : 436,714.86 = 180,498.92 : x
  2. Step 2: Convert to fraction form
    316,458.08/436,714.86 = 180,498.92/x
  3. Step 3: Cross multiply
    316,458.08x = 436,714.86 × 180,498.92
  4. Step 4: Simplify right side
    316,458.08x = 78,826,558,394.38
  5. Step 5: Solve for x
    x = 78,826,558,394.38/316,458.08
  6. Step 6: Final answer
    x = 249,090.05

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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.