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Finding the Fourth Proportional to 586,783.68, 809,756.64 and 332,132.64

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Solution

The fourth proportional to 586,783.68, 809,756.64 and 332,132.64 is: 458,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,783.68 : 809,756.64 = 332,132.64 : x
  2. Step 2: Convert to fraction form
    586,783.68/809,756.64 = 332,132.64/x
  3. Step 3: Cross multiply
    586,783.68x = 809,756.64 × 332,132.64
  4. Step 4: Simplify right side
    586,783.68x = 268,946,610,600.73
  5. Step 5: Solve for x
    x = 268,946,610,600.73/586,783.68
  6. Step 6: Final answer
    x = 458,340.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.