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Finding the Fourth Proportional to 457,152.54, 685,838.29 and 190,764.87

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Solution

The fourth proportional to 457,152.54, 685,838.29 and 190,764.87 is: 286,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,152.54 : 685,838.29 = 190,764.87 : x
  2. Step 2: Convert to fraction form
    457,152.54/685,838.29 = 190,764.87/x
  3. Step 3: Cross multiply
    457,152.54x = 685,838.29 × 190,764.87
  4. Step 4: Simplify right side
    457,152.54x = 130,833,852,232.87
  5. Step 5: Solve for x
    x = 130,833,852,232.87/457,152.54
  6. Step 6: Final answer
    x = 286,192.99

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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.