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Finding the Fourth Proportional to 447,713.80, 671,570.70 and 152,225.80

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Solution

The fourth proportional to 447,713.80, 671,570.70 and 152,225.80 is: 228,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,713.80 : 671,570.70 = 152,225.80 : x
  2. Step 2: Convert to fraction form
    447,713.80/671,570.70 = 152,225.80/x
  3. Step 3: Cross multiply
    447,713.80x = 671,570.70 × 152,225.80
  4. Step 4: Simplify right side
    447,713.80x = 102,230,387,064.06
  5. Step 5: Solve for x
    x = 102,230,387,064.06/447,713.80
  6. Step 6: Final answer
    x = 228,338.70

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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.