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Finding the Fourth Proportional to 313,507.16, 432,639.78 and 170,267.24

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Solution

The fourth proportional to 313,507.16, 432,639.78 and 170,267.24 is: 234,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,507.16 : 432,639.78 = 170,267.24 : x
  2. Step 2: Convert to fraction form
    313,507.16/432,639.78 = 170,267.24/x
  3. Step 3: Cross multiply
    313,507.16x = 432,639.78 × 170,267.24
  4. Step 4: Simplify right side
    313,507.16x = 73,664,381,254.81
  5. Step 5: Solve for x
    x = 73,664,381,254.81/313,507.16
  6. Step 6: Final answer
    x = 234,968.74

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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.