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Finding the Fourth Proportional to 649,281.80, 973,922.70 and 410,133.35

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Solution

The fourth proportional to 649,281.80, 973,922.70 and 410,133.35 is: 615,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,281.80 : 973,922.70 = 410,133.35 : x
  2. Step 2: Convert to fraction form
    649,281.80/973,922.70 = 410,133.35/x
  3. Step 3: Cross multiply
    649,281.80x = 973,922.70 × 410,133.35
  4. Step 4: Simplify right side
    649,281.80x = 399,438,179,592.05
  5. Step 5: Solve for x
    x = 399,438,179,592.05/649,281.80
  6. Step 6: Final answer
    x = 615,200.03

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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.