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Finding the Fourth Proportional to 1,223,805.80, 1,836,364.80 and 513,905.60

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Solution

The fourth proportional to 1,223,805.80, 1,836,364.80 and 513,905.60 is: 771,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,805.80 : 1,836,364.80 = 513,905.60 : x
  2. Step 2: Convert to fraction form
    1,223,805.80/1,836,364.80 = 513,905.60/x
  3. Step 3: Cross multiply
    1,223,805.80x = 1,836,364.80 × 513,905.60
  4. Step 4: Simplify right side
    1,223,805.80x = 943,718,154,362.88
  5. Step 5: Solve for x
    x = 943,718,154,362.88/1,223,805.80
  6. Step 6: Final answer
    x = 771,133.91

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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.