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Finding the Fourth Proportional to 407,684.03, 611,387.61 and 154,903.77

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Solution

The fourth proportional to 407,684.03, 611,387.61 and 154,903.77 is: 232,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,684.03 : 611,387.61 = 154,903.77 : x
  2. Step 2: Convert to fraction form
    407,684.03/611,387.61 = 154,903.77/x
  3. Step 3: Cross multiply
    407,684.03x = 611,387.61 × 154,903.77
  4. Step 4: Simplify right side
    407,684.03x = 94,706,245,720.29
  5. Step 5: Solve for x
    x = 94,706,245,720.29/407,684.03
  6. Step 6: Final answer
    x = 232,303.06

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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.