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Finding the Fourth Proportional to 458,805.90, 688,051.98 and 174,427.86

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Solution

The fourth proportional to 458,805.90, 688,051.98 and 174,427.86 is: 261,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,805.90 : 688,051.98 = 174,427.86 : x
  2. Step 2: Convert to fraction form
    458,805.90/688,051.98 = 174,427.86/x
  3. Step 3: Cross multiply
    458,805.90x = 688,051.98 × 174,427.86
  4. Step 4: Simplify right side
    458,805.90x = 120,015,434,440.16
  5. Step 5: Solve for x
    x = 120,015,434,440.16/458,805.90
  6. Step 6: Final answer
    x = 261,582.15

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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.