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Finding the Fourth Proportional to 398,000.40, 595,445.40 and 258,032.40

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Solution

The fourth proportional to 398,000.40, 595,445.40 and 258,032.40 is: 386,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,000.40 : 595,445.40 = 258,032.40 : x
  2. Step 2: Convert to fraction form
    398,000.40/595,445.40 = 258,032.40/x
  3. Step 3: Cross multiply
    398,000.40x = 595,445.40 × 258,032.40
  4. Step 4: Simplify right side
    398,000.40x = 153,644,205,630.96
  5. Step 5: Solve for x
    x = 153,644,205,630.96/398,000.40
  6. Step 6: Final answer
    x = 386,040.33

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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.