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Finding the Fourth Proportional to 597,638.50, 896,633.32 and 176,925.32

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Solution

The fourth proportional to 597,638.50, 896,633.32 and 176,925.32 is: 265,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,638.50 : 896,633.32 = 176,925.32 : x
  2. Step 2: Convert to fraction form
    597,638.50/896,633.32 = 176,925.32/x
  3. Step 3: Cross multiply
    597,638.50x = 896,633.32 × 176,925.32
  4. Step 4: Simplify right side
    597,638.50x = 158,637,137,063.66
  5. Step 5: Solve for x
    x = 158,637,137,063.66/597,638.50
  6. Step 6: Final answer
    x = 265,439.96

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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.