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Finding the Fourth Proportional to 313,809.63, 433,038.96 and 170,568.42

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Solution

The fourth proportional to 313,809.63, 433,038.96 and 170,568.42 is: 235,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,809.63 : 433,038.96 = 170,568.42 : x
  2. Step 2: Convert to fraction form
    313,809.63/433,038.96 = 170,568.42/x
  3. Step 3: Cross multiply
    313,809.63x = 433,038.96 × 170,568.42
  4. Step 4: Simplify right side
    313,809.63x = 73,862,771,205.64
  5. Step 5: Solve for x
    x = 73,862,771,205.64/313,809.63
  6. Step 6: Final answer
    x = 235,374.46

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1.5x scale

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.