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Finding the Fourth Proportional to 455,315.34, 683,006.12 and 174,832.59

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Solution

The fourth proportional to 455,315.34, 683,006.12 and 174,832.59 is: 262,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,315.34 : 683,006.12 = 174,832.59 : x
  2. Step 2: Convert to fraction form
    455,315.34/683,006.12 = 174,832.59/x
  3. Step 3: Cross multiply
    455,315.34x = 683,006.12 × 174,832.59
  4. Step 4: Simplify right side
    455,315.34x = 119,411,732,271.62
  5. Step 5: Solve for x
    x = 119,411,732,271.62/455,315.34
  6. Step 6: Final answer
    x = 262,261.60

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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.