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Finding the Fourth Proportional to 492,678.84, 739,018.26 and 176,963.52

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Solution

The fourth proportional to 492,678.84, 739,018.26 and 176,963.52 is: 265,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,678.84 : 739,018.26 = 176,963.52 : x
  2. Step 2: Convert to fraction form
    492,678.84/739,018.26 = 176,963.52/x
  3. Step 3: Cross multiply
    492,678.84x = 739,018.26 × 176,963.52
  4. Step 4: Simplify right side
    492,678.84x = 130,779,272,633.88
  5. Step 5: Solve for x
    x = 130,779,272,633.88/492,678.84
  6. Step 6: Final answer
    x = 265,445.28

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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.