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Finding the Fourth Proportional to 535,800.47, 803,700.72 and 161,823.47

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Solution

The fourth proportional to 535,800.47, 803,700.72 and 161,823.47 is: 242,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,800.47 : 803,700.72 = 161,823.47 : x
  2. Step 2: Convert to fraction form
    535,800.47/803,700.72 = 161,823.47/x
  3. Step 3: Cross multiply
    535,800.47x = 803,700.72 × 161,823.47
  4. Step 4: Simplify right side
    535,800.47x = 130,057,635,333.40
  5. Step 5: Solve for x
    x = 130,057,635,333.40/535,800.47
  6. Step 6: Final answer
    x = 242,735.20

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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.