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Finding the Fourth Proportional to 468,220.92, 646,032.48 and 284,455.80

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Solution

The fourth proportional to 468,220.92, 646,032.48 and 284,455.80 is: 392,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,220.92 : 646,032.48 = 284,455.80 : x
  2. Step 2: Convert to fraction form
    468,220.92/646,032.48 = 284,455.80/x
  3. Step 3: Cross multiply
    468,220.92x = 646,032.48 × 284,455.80
  4. Step 4: Simplify right side
    468,220.92x = 183,767,685,924.38
  5. Step 5: Solve for x
    x = 183,767,685,924.38/468,220.92
  6. Step 6: Final answer
    x = 392,480.72

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1.5x scale

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.