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Finding the Fourth Proportional to 535,446.64, 803,006.16 and 180,365.44

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Solution

The fourth proportional to 535,446.64, 803,006.16 and 180,365.44 is: 270,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,446.64 : 803,006.16 = 180,365.44 : x
  2. Step 2: Convert to fraction form
    535,446.64/803,006.16 = 180,365.44/x
  3. Step 3: Cross multiply
    535,446.64x = 803,006.16 × 180,365.44
  4. Step 4: Simplify right side
    535,446.64x = 144,834,559,371.11
  5. Step 5: Solve for x
    x = 144,834,559,371.11/535,446.64
  6. Step 6: Final answer
    x = 270,492.98

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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.