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Finding the Fourth Proportional to 319,166.10, 477,827.55 and 194,750.10

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Solution

The fourth proportional to 319,166.10, 477,827.55 and 194,750.10 is: 291,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,166.10 : 477,827.55 = 194,750.10 : x
  2. Step 2: Convert to fraction form
    319,166.10/477,827.55 = 194,750.10/x
  3. Step 3: Cross multiply
    319,166.10x = 477,827.55 × 194,750.10
  4. Step 4: Simplify right side
    319,166.10x = 93,056,963,145.26
  5. Step 5: Solve for x
    x = 93,056,963,145.26/319,166.10
  6. Step 6: Final answer
    x = 291,562.80

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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.