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Finding the Fourth Proportional to 447,577.47, 670,618.86 and 314,218.98

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Solution

The fourth proportional to 447,577.47, 670,618.86 and 314,218.98 is: 470,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,577.47 : 670,618.86 = 314,218.98 : x
  2. Step 2: Convert to fraction form
    447,577.47/670,618.86 = 314,218.98/x
  3. Step 3: Cross multiply
    447,577.47x = 670,618.86 × 314,218.98
  4. Step 4: Simplify right side
    447,577.47x = 210,721,174,157.96
  5. Step 5: Solve for x
    x = 210,721,174,157.96/447,577.47
  6. Step 6: Final answer
    x = 470,803.80

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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.