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Finding the Fourth Proportional to 284,813.60, 393,041.75 and 160,624.71

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Solution

The fourth proportional to 284,813.60, 393,041.75 and 160,624.71 is: 221,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,813.60 : 393,041.75 = 160,624.71 : x
  2. Step 2: Convert to fraction form
    284,813.60/393,041.75 = 160,624.71/x
  3. Step 3: Cross multiply
    284,813.60x = 393,041.75 × 160,624.71
  4. Step 4: Simplify right side
    284,813.60x = 63,132,216,308.52
  5. Step 5: Solve for x
    x = 63,132,216,308.52/284,813.60
  6. Step 6: Final answer
    x = 221,661.53

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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.