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Finding the Fourth Proportional to 398,124.30, 595,728.45 and 293,148.30

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Solution

The fourth proportional to 398,124.30, 595,728.45 and 293,148.30 is: 438,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,124.30 : 595,728.45 = 293,148.30 : x
  2. Step 2: Convert to fraction form
    398,124.30/595,728.45 = 293,148.30/x
  3. Step 3: Cross multiply
    398,124.30x = 595,728.45 × 293,148.30
  4. Step 4: Simplify right side
    398,124.30x = 174,636,782,379.14
  5. Step 5: Solve for x
    x = 174,636,782,379.14/398,124.30
  6. Step 6: Final answer
    x = 438,648.89

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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.