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Finding the Fourth Proportional to 455,966.69, 683,964 and 156,443.13

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Solution

The fourth proportional to 455,966.69, 683,964 and 156,443.13 is: 234,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,966.69 : 683,964 = 156,443.13 : x
  2. Step 2: Convert to fraction form
    455,966.69/683,964 = 156,443.13/x
  3. Step 3: Cross multiply
    455,966.69x = 683,964 × 156,443.13
  4. Step 4: Simplify right side
    455,966.69x = 107,001,468,967.32
  5. Step 5: Solve for x
    x = 107,001,468,967.32/455,966.69
  6. Step 6: Final answer
    x = 234,669.49

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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.