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Finding the Fourth Proportional to 648,862.80, 973,367.10 and 199,580.10

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Solution

The fourth proportional to 648,862.80, 973,367.10 and 199,580.10 is: 299,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,862.80 : 973,367.10 = 199,580.10 : x
  2. Step 2: Convert to fraction form
    648,862.80/973,367.10 = 199,580.10/x
  3. Step 3: Cross multiply
    648,862.80x = 973,367.10 × 199,580.10
  4. Step 4: Simplify right side
    648,862.80x = 194,264,703,154.71
  5. Step 5: Solve for x
    x = 194,264,703,154.71/648,862.80
  6. Step 6: Final answer
    x = 299,392.57

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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.