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Finding the Fourth Proportional to 410,208.20, 615,312.30 and 298,233.80

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Solution

The fourth proportional to 410,208.20, 615,312.30 and 298,233.80 is: 447,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,208.20 : 615,312.30 = 298,233.80 : x
  2. Step 2: Convert to fraction form
    410,208.20/615,312.30 = 298,233.80/x
  3. Step 3: Cross multiply
    410,208.20x = 615,312.30 × 298,233.80
  4. Step 4: Simplify right side
    410,208.20x = 183,506,925,415.74
  5. Step 5: Solve for x
    x = 183,506,925,415.74/410,208.20
  6. Step 6: Final answer
    x = 447,350.70

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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.