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Finding the Fourth Proportional to 313,585.96, 432,751.70 and 170,347.16

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Solution

The fourth proportional to 313,585.96, 432,751.70 and 170,347.16 is: 235,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,585.96 : 432,751.70 = 170,347.16 : x
  2. Step 2: Convert to fraction form
    313,585.96/432,751.70 = 170,347.16/x
  3. Step 3: Cross multiply
    313,585.96x = 432,751.70 × 170,347.16
  4. Step 4: Simplify right side
    313,585.96x = 73,718,023,080.17
  5. Step 5: Solve for x
    x = 73,718,023,080.17/313,585.96
  6. Step 6: Final answer
    x = 235,080.75

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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.