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Finding the Fourth Proportional to 521,782.60, 783,624.30 and 456,464.20

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Solution

The fourth proportional to 521,782.60, 783,624.30 and 456,464.20 is: 685,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,782.60 : 783,624.30 = 456,464.20 : x
  2. Step 2: Convert to fraction form
    521,782.60/783,624.30 = 456,464.20/x
  3. Step 3: Cross multiply
    521,782.60x = 783,624.30 × 456,464.20
  4. Step 4: Simplify right side
    521,782.60x = 357,696,439,200.06
  5. Step 5: Solve for x
    x = 357,696,439,200.06/521,782.60
  6. Step 6: Final answer
    x = 685,527.73

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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.