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Finding the Fourth Proportional to 313,632.16, 432,814.45 and 170,392.16

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Solution

The fourth proportional to 313,632.16, 432,814.45 and 170,392.16 is: 235,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,632.16 : 432,814.45 = 170,392.16 : x
  2. Step 2: Convert to fraction form
    313,632.16/432,814.45 = 170,392.16/x
  3. Step 3: Cross multiply
    313,632.16x = 432,814.45 × 170,392.16
  4. Step 4: Simplify right side
    313,632.16x = 73,748,189,670.77
  5. Step 5: Solve for x
    x = 73,748,189,670.77/313,632.16
  6. Step 6: Final answer
    x = 235,142.31

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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.