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Finding the Fourth Proportional to 458,782.48, 688,017.78 and 174,404.44

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Solution

The fourth proportional to 458,782.48, 688,017.78 and 174,404.44 is: 261,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,782.48 : 688,017.78 = 174,404.44 : x
  2. Step 2: Convert to fraction form
    458,782.48/688,017.78 = 174,404.44/x
  3. Step 3: Cross multiply
    458,782.48x = 688,017.78 × 174,404.44
  4. Step 4: Simplify right side
    458,782.48x = 119,993,355,630.94
  5. Step 5: Solve for x
    x = 119,993,355,630.94/458,782.48
  6. Step 6: Final answer
    x = 261,547.38

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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.