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Finding the Fourth Proportional to 301,828.68, 416,524.68 and 174,503.16

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Solution

The fourth proportional to 301,828.68, 416,524.68 and 174,503.16 is: 240,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,828.68 : 416,524.68 = 174,503.16 : x
  2. Step 2: Convert to fraction form
    301,828.68/416,524.68 = 174,503.16/x
  3. Step 3: Cross multiply
    301,828.68x = 416,524.68 × 174,503.16
  4. Step 4: Simplify right side
    301,828.68x = 72,684,872,877.99
  5. Step 5: Solve for x
    x = 72,684,872,877.99/301,828.68
  6. Step 6: Final answer
    x = 240,815.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.