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Finding the Fourth Proportional to 457,156.86, 685,780.40 and 157,598.01

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Solution

The fourth proportional to 457,156.86, 685,780.40 and 157,598.01 is: 236,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,156.86 : 685,780.40 = 157,598.01 : x
  2. Step 2: Convert to fraction form
    457,156.86/685,780.40 = 157,598.01/x
  3. Step 3: Cross multiply
    457,156.86x = 685,780.40 × 157,598.01
  4. Step 4: Simplify right side
    457,156.86x = 108,077,623,302.10
  5. Step 5: Solve for x
    x = 108,077,623,302.10/457,156.86
  6. Step 6: Final answer
    x = 236,412.56

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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.