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Finding the Fourth Proportional to 313,254.86, 432,280.73 and 170,012.03

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Solution

The fourth proportional to 313,254.86, 432,280.73 and 170,012.03 is: 234,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,254.86 : 432,280.73 = 170,012.03 : x
  2. Step 2: Convert to fraction form
    313,254.86/432,280.73 = 170,012.03/x
  3. Step 3: Cross multiply
    313,254.86x = 432,280.73 × 170,012.03
  4. Step 4: Simplify right side
    313,254.86x = 73,492,922,700.81
  5. Step 5: Solve for x
    x = 73,492,922,700.81/313,254.86
  6. Step 6: Final answer
    x = 234,610.64

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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.