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Finding the Fourth Proportional to 313,880.94, 433,158.44 and 170,641.08

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Solution

The fourth proportional to 313,880.94, 433,158.44 and 170,641.08 is: 235,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,880.94 : 433,158.44 = 170,641.08 : x
  2. Step 2: Convert to fraction form
    313,880.94/433,158.44 = 170,641.08/x
  3. Step 3: Cross multiply
    313,880.94x = 433,158.44 × 170,641.08
  4. Step 4: Simplify right side
    313,880.94x = 73,914,623,159.51
  5. Step 5: Solve for x
    x = 73,914,623,159.51/313,880.94
  6. Step 6: Final answer
    x = 235,486.18

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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.