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Finding the Fourth Proportional to 397,967.40, 596,951.10 and 354,421.80

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Solution

The fourth proportional to 397,967.40, 596,951.10 and 354,421.80 is: 531,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,967.40 : 596,951.10 = 354,421.80 : x
  2. Step 2: Convert to fraction form
    397,967.40/596,951.10 = 354,421.80/x
  3. Step 3: Cross multiply
    397,967.40x = 596,951.10 × 354,421.80
  4. Step 4: Simplify right side
    397,967.40x = 211,572,483,373.98
  5. Step 5: Solve for x
    x = 211,572,483,373.98/397,967.40
  6. Step 6: Final answer
    x = 531,632.70

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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.