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Finding the Fourth Proportional to 597,496.36, 896,509.43 and 313,119.28

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Solution

The fourth proportional to 597,496.36, 896,509.43 and 313,119.28 is: 469,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,496.36 : 896,509.43 = 313,119.28 : x
  2. Step 2: Convert to fraction form
    597,496.36/896,509.43 = 313,119.28/x
  3. Step 3: Cross multiply
    597,496.36x = 896,509.43 × 313,119.28
  4. Step 4: Simplify right side
    597,496.36x = 280,714,385,776.34
  5. Step 5: Solve for x
    x = 280,714,385,776.34/597,496.36
  6. Step 6: Final answer
    x = 469,817.74

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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.