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Finding the Fourth Proportional to 466,823.20, 700,234.80 and 459,047.20

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Solution

The fourth proportional to 466,823.20, 700,234.80 and 459,047.20 is: 688,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,823.20 : 700,234.80 = 459,047.20 : x
  2. Step 2: Convert to fraction form
    466,823.20/700,234.80 = 459,047.20/x
  3. Step 3: Cross multiply
    466,823.20x = 700,234.80 × 459,047.20
  4. Step 4: Simplify right side
    466,823.20x = 321,440,824,282.56
  5. Step 5: Solve for x
    x = 321,440,824,282.56/466,823.20
  6. Step 6: Final answer
    x = 688,570.80

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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.