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Finding the Fourth Proportional to 590,214.60, 886,212.90 and 471,533.40

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Solution

The fourth proportional to 590,214.60, 886,212.90 and 471,533.40 is: 708,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,214.60 : 886,212.90 = 471,533.40 : x
  2. Step 2: Convert to fraction form
    590,214.60/886,212.90 = 471,533.40/x
  3. Step 3: Cross multiply
    590,214.60x = 886,212.90 × 471,533.40
  4. Step 4: Simplify right side
    590,214.60x = 417,878,981,860.86
  5. Step 5: Solve for x
    x = 417,878,981,860.86/590,214.60
  6. Step 6: Final answer
    x = 708,011.94

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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.