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Finding the Fourth Proportional to 537,106.94, 741,226.20 and 295,407.80

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Solution

The fourth proportional to 537,106.94, 741,226.20 and 295,407.80 is: 407,673.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,106.94 : 741,226.20 = 295,407.80 : x
  2. Step 2: Convert to fraction form
    537,106.94/741,226.20 = 295,407.80/x
  3. Step 3: Cross multiply
    537,106.94x = 741,226.20 × 295,407.80
  4. Step 4: Simplify right side
    537,106.94x = 218,964,001,044.36
  5. Step 5: Solve for x
    x = 218,964,001,044.36/537,106.94
  6. Step 6: Final answer
    x = 407,673.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.