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Finding the Fourth Proportional to 342,907.25, 473,102.65 and 222,141.11

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Solution

The fourth proportional to 342,907.25, 473,102.65 and 222,141.11 is: 306,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,907.25 : 473,102.65 = 222,141.11 : x
  2. Step 2: Convert to fraction form
    342,907.25/473,102.65 = 222,141.11/x
  3. Step 3: Cross multiply
    342,907.25x = 473,102.65 × 222,141.11
  4. Step 4: Simplify right side
    342,907.25x = 105,095,547,814.94
  5. Step 5: Solve for x
    x = 105,095,547,814.94/342,907.25
  6. Step 6: Final answer
    x = 306,483.89

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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.