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Finding the Fourth Proportional to 398,066.40, 595,544.40 and 258,098.40

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Solution

The fourth proportional to 398,066.40, 595,544.40 and 258,098.40 is: 386,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,066.40 : 595,544.40 = 258,098.40 : x
  2. Step 2: Convert to fraction form
    398,066.40/595,544.40 = 258,098.40/x
  3. Step 3: Cross multiply
    398,066.40x = 595,544.40 × 258,098.40
  4. Step 4: Simplify right side
    398,066.40x = 153,709,056,768.96
  5. Step 5: Solve for x
    x = 153,709,056,768.96/398,066.40
  6. Step 6: Final answer
    x = 386,139.24

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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.