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Finding the Fourth Proportional to 455,707.68, 683,577.92 and 171,372.16

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Solution

The fourth proportional to 455,707.68, 683,577.92 and 171,372.16 is: 257,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,707.68 : 683,577.92 = 171,372.16 : x
  2. Step 2: Convert to fraction form
    455,707.68/683,577.92 = 171,372.16/x
  3. Step 3: Cross multiply
    455,707.68x = 683,577.92 × 171,372.16
  4. Step 4: Simplify right side
    455,707.68x = 117,146,224,678.71
  5. Step 5: Solve for x
    x = 117,146,224,678.71/455,707.68
  6. Step 6: Final answer
    x = 257,064.41

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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.