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Finding the Fourth Proportional to 535,835.40, 803,461.10 and 161,809.80

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Solution

The fourth proportional to 535,835.40, 803,461.10 and 161,809.80 is: 242,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,835.40 : 803,461.10 = 161,809.80 : x
  2. Step 2: Convert to fraction form
    535,835.40/803,461.10 = 161,809.80/x
  3. Step 3: Cross multiply
    535,835.40x = 803,461.10 × 161,809.80
  4. Step 4: Simplify right side
    535,835.40x = 130,007,879,898.78
  5. Step 5: Solve for x
    x = 130,007,879,898.78/535,835.40
  6. Step 6: Final answer
    x = 242,626.52

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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.