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Finding the Fourth Proportional to 468,109.80, 646,068.80 and 286,922.52

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Solution

The fourth proportional to 468,109.80, 646,068.80 and 286,922.52 is: 396,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,109.80 : 646,068.80 = 286,922.52 : x
  2. Step 2: Convert to fraction form
    468,109.80/646,068.80 = 286,922.52/x
  3. Step 3: Cross multiply
    468,109.80x = 646,068.80 × 286,922.52
  4. Step 4: Simplify right side
    468,109.80x = 185,371,688,189.38
  5. Step 5: Solve for x
    x = 185,371,688,189.38/468,109.80
  6. Step 6: Final answer
    x = 396,000.44

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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.