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Finding the Fourth Proportional to 417,186.84, 625,779.05 and 150,946.32

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Solution

The fourth proportional to 417,186.84, 625,779.05 and 150,946.32 is: 226,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,186.84 : 625,779.05 = 150,946.32 : x
  2. Step 2: Convert to fraction form
    417,186.84/625,779.05 = 150,946.32/x
  3. Step 3: Cross multiply
    417,186.84x = 625,779.05 × 150,946.32
  4. Step 4: Simplify right side
    417,186.84x = 94,459,043,975.86
  5. Step 5: Solve for x
    x = 94,459,043,975.86/417,186.84
  6. Step 6: Final answer
    x = 226,419.04

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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.