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Finding the Fourth Proportional to 407,434.44, 611,155.10 and 154,647.06

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Solution

The fourth proportional to 407,434.44, 611,155.10 and 154,647.06 is: 231,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,434.44 : 611,155.10 = 154,647.06 : x
  2. Step 2: Convert to fraction form
    407,434.44/611,155.10 = 154,647.06/x
  3. Step 3: Cross multiply
    407,434.44x = 611,155.10 × 154,647.06
  4. Step 4: Simplify right side
    407,434.44x = 94,513,339,419.01
  5. Step 5: Solve for x
    x = 94,513,339,419.01/407,434.44
  6. Step 6: Final answer
    x = 231,971.90

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1.5x scale

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.