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Finding the Fourth Proportional to 347,646.26, 521,703.12 and 123,005.80

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Solution

The fourth proportional to 347,646.26, 521,703.12 and 123,005.80 is: 184,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,646.26 : 521,703.12 = 123,005.80 : x
  2. Step 2: Convert to fraction form
    347,646.26/521,703.12 = 123,005.80/x
  3. Step 3: Cross multiply
    347,646.26x = 521,703.12 × 123,005.80
  4. Step 4: Simplify right side
    347,646.26x = 64,172,509,638.10
  5. Step 5: Solve for x
    x = 64,172,509,638.10/347,646.26
  6. Step 6: Final answer
    x = 184,591.40

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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.