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Finding the Fourth Proportional to 468,482.27, 702,854.62 and 188,196.35

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Solution

The fourth proportional to 468,482.27, 702,854.62 and 188,196.35 is: 282,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,482.27 : 702,854.62 = 188,196.35 : x
  2. Step 2: Convert to fraction form
    468,482.27/702,854.62 = 188,196.35/x
  3. Step 3: Cross multiply
    468,482.27x = 702,854.62 × 188,196.35
  4. Step 4: Simplify right side
    468,482.27x = 132,274,670,079.87
  5. Step 5: Solve for x
    x = 132,274,670,079.87/468,482.27
  6. Step 6: Final answer
    x = 282,347.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.