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Finding the Fourth Proportional to 313,806.32, 433,051.09 and 170,567.13

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Solution

The fourth proportional to 313,806.32, 433,051.09 and 170,567.13 is: 235,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,806.32 : 433,051.09 = 170,567.13 : x
  2. Step 2: Convert to fraction form
    313,806.32/433,051.09 = 170,567.13/x
  3. Step 3: Cross multiply
    313,806.32x = 433,051.09 × 170,567.13
  4. Step 4: Simplify right side
    313,806.32x = 73,864,281,564.67
  5. Step 5: Solve for x
    x = 73,864,281,564.67/313,806.32
  6. Step 6: Final answer
    x = 235,381.76

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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.