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Finding the Fourth Proportional to 597,570, 896,619.76 and 313,192.88

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Solution

The fourth proportional to 597,570, 896,619.76 and 313,192.88 is: 469,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,570 : 896,619.76 = 313,192.88 : x
  2. Step 2: Convert to fraction form
    597,570/896,619.76 = 313,192.88/x
  3. Step 3: Cross multiply
    597,570x = 896,619.76 × 313,192.88
  4. Step 4: Simplify right side
    597,570x = 280,814,924,899.31
  5. Step 5: Solve for x
    x = 280,814,924,899.31/597,570
  6. Step 6: Final answer
    x = 469,928.08

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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.