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Finding the Fourth Proportional to 456,257.04, 683,910.96 and 171,752.16

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Solution

The fourth proportional to 456,257.04, 683,910.96 and 171,752.16 is: 257,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,257.04 : 683,910.96 = 171,752.16 : x
  2. Step 2: Convert to fraction form
    456,257.04/683,910.96 = 171,752.16/x
  3. Step 3: Cross multiply
    456,257.04x = 683,910.96 × 171,752.16
  4. Step 4: Simplify right side
    456,257.04x = 117,463,184,627.67
  5. Step 5: Solve for x
    x = 117,463,184,627.67/456,257.04
  6. Step 6: Final answer
    x = 257,449.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.