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Finding the Fourth Proportional to 535,803.47, 803,705.22 and 161,826.47

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Solution

The fourth proportional to 535,803.47, 803,705.22 and 161,826.47 is: 242,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,803.47 : 803,705.22 = 161,826.47 : x
  2. Step 2: Convert to fraction form
    535,803.47/803,705.22 = 161,826.47/x
  3. Step 3: Cross multiply
    535,803.47x = 803,705.22 × 161,826.47
  4. Step 4: Simplify right side
    535,803.47x = 130,060,774,654.65
  5. Step 5: Solve for x
    x = 130,060,774,654.65/535,803.47
  6. Step 6: Final answer
    x = 242,739.70

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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.