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Finding the Fourth Proportional to 535,661.70, 803,404.86 and 198,623.13

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Solution

The fourth proportional to 535,661.70, 803,404.86 and 198,623.13 is: 297,902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,661.70 : 803,404.86 = 198,623.13 : x
  2. Step 2: Convert to fraction form
    535,661.70/803,404.86 = 198,623.13/x
  3. Step 3: Cross multiply
    535,661.70x = 803,404.86 × 198,623.13
  4. Step 4: Simplify right side
    535,661.70x = 159,574,787,950.41
  5. Step 5: Solve for x
    x = 159,574,787,950.41/535,661.70
  6. Step 6: Final answer
    x = 297,902.18

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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.