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Finding the Fourth Proportional to 535,797.48, 803,669.76 and 198,903.60

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Solution

The fourth proportional to 535,797.48, 803,669.76 and 198,903.60 is: 298,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,797.48 : 803,669.76 = 198,903.60 : x
  2. Step 2: Convert to fraction form
    535,797.48/803,669.76 = 198,903.60/x
  3. Step 3: Cross multiply
    535,797.48x = 803,669.76 × 198,903.60
  4. Step 4: Simplify right side
    535,797.48x = 159,852,808,475.14
  5. Step 5: Solve for x
    x = 159,852,808,475.14/535,797.48
  6. Step 6: Final answer
    x = 298,345.58

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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.