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Finding the Fourth Proportional to 458,416.33, 687,623.88 and 174,106.33

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Solution

The fourth proportional to 458,416.33, 687,623.88 and 174,106.33 is: 261,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,416.33 : 687,623.88 = 174,106.33 : x
  2. Step 2: Convert to fraction form
    458,416.33/687,623.88 = 174,106.33/x
  3. Step 3: Cross multiply
    458,416.33x = 687,623.88 × 174,106.33
  4. Step 4: Simplify right side
    458,416.33x = 119,719,670,167.16
  5. Step 5: Solve for x
    x = 119,719,670,167.16/458,416.33
  6. Step 6: Final answer
    x = 261,159.26

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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.