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Finding the Fourth Proportional to 553,729.50, 830,674.44 and 174,522.06

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Solution

The fourth proportional to 553,729.50, 830,674.44 and 174,522.06 is: 261,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,729.50 : 830,674.44 = 174,522.06 : x
  2. Step 2: Convert to fraction form
    553,729.50/830,674.44 = 174,522.06/x
  3. Step 3: Cross multiply
    553,729.50x = 830,674.44 × 174,522.06
  4. Step 4: Simplify right side
    553,729.50x = 144,971,014,458.15
  5. Step 5: Solve for x
    x = 144,971,014,458.15/553,729.50
  6. Step 6: Final answer
    x = 261,808.36

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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.