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Finding the Fourth Proportional to 275,509.32, 413,423.42 and 115,570.93

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Solution

The fourth proportional to 275,509.32, 413,423.42 and 115,570.93 is: 173,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,509.32 : 413,423.42 = 115,570.93 : x
  2. Step 2: Convert to fraction form
    275,509.32/413,423.42 = 115,570.93/x
  3. Step 3: Cross multiply
    275,509.32x = 413,423.42 × 115,570.93
  4. Step 4: Simplify right side
    275,509.32x = 47,779,729,133.18
  5. Step 5: Solve for x
    x = 47,779,729,133.18/275,509.32
  6. Step 6: Final answer
    x = 173,423.28

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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.