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Finding the Fourth Proportional to 586,784.68, 809,758.02 and 332,133.64

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Solution

The fourth proportional to 586,784.68, 809,758.02 and 332,133.64 is: 458,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,784.68 : 809,758.02 = 332,133.64 : x
  2. Step 2: Convert to fraction form
    586,784.68/809,758.02 = 332,133.64/x
  3. Step 3: Cross multiply
    586,784.68x = 809,758.02 × 332,133.64
  4. Step 4: Simplify right side
    586,784.68x = 268,947,878,701.79
  5. Step 5: Solve for x
    x = 268,947,878,701.79/586,784.68
  6. Step 6: Final answer
    x = 458,341.68

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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.