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Finding the Fourth Proportional to 473,014.80, 708,139.80 and 459,190.80

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Solution

The fourth proportional to 473,014.80, 708,139.80 and 459,190.80 is: 687,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,014.80 : 708,139.80 = 459,190.80 : x
  2. Step 2: Convert to fraction form
    473,014.80/708,139.80 = 459,190.80/x
  3. Step 3: Cross multiply
    473,014.80x = 708,139.80 × 459,190.80
  4. Step 4: Simplify right side
    473,014.80x = 325,171,281,273.84
  5. Step 5: Solve for x
    x = 325,171,281,273.84/473,014.80
  6. Step 6: Final answer
    x = 687,444.20

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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.