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Finding the Fourth Proportional to 535,784.46, 803,117.76 and 180,676.38

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Solution

The fourth proportional to 535,784.46, 803,117.76 and 180,676.38 is: 270,826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,784.46 : 803,117.76 = 180,676.38 : x
  2. Step 2: Convert to fraction form
    535,784.46/803,117.76 = 180,676.38/x
  3. Step 3: Cross multiply
    535,784.46x = 803,117.76 × 180,676.38
  4. Step 4: Simplify right side
    535,784.46x = 145,104,409,590.51
  5. Step 5: Solve for x
    x = 145,104,409,590.51/535,784.46
  6. Step 6: Final answer
    x = 270,826.09

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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.