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Finding the Fourth Proportional to 466,943.70, 700,415.55 and 407,894.70

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Solution

The fourth proportional to 466,943.70, 700,415.55 and 407,894.70 is: 611,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,943.70 : 700,415.55 = 407,894.70 : x
  2. Step 2: Convert to fraction form
    466,943.70/700,415.55 = 407,894.70/x
  3. Step 3: Cross multiply
    466,943.70x = 700,415.55 × 407,894.70
  4. Step 4: Simplify right side
    466,943.70x = 285,695,790,642.59
  5. Step 5: Solve for x
    x = 285,695,790,642.59/466,943.70
  6. Step 6: Final answer
    x = 611,842.05

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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.