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Finding the Fourth Proportional to 413,916.32, 620,355.36 and 176,980.88

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Solution

The fourth proportional to 413,916.32, 620,355.36 and 176,980.88 is: 265,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,916.32 : 620,355.36 = 176,980.88 : x
  2. Step 2: Convert to fraction form
    413,916.32/620,355.36 = 176,980.88/x
  3. Step 3: Cross multiply
    413,916.32x = 620,355.36 × 176,980.88
  4. Step 4: Simplify right side
    413,916.32x = 109,791,037,525.52
  5. Step 5: Solve for x
    x = 109,791,037,525.52/413,916.32
  6. Step 6: Final answer
    x = 265,249.36

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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.