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Finding the Fourth Proportional to 399,089.80, 597,176.70 and 294,113.80

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Solution

The fourth proportional to 399,089.80, 597,176.70 and 294,113.80 is: 440,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,089.80 : 597,176.70 = 294,113.80 : x
  2. Step 2: Convert to fraction form
    399,089.80/597,176.70 = 294,113.80/x
  3. Step 3: Cross multiply
    399,089.80x = 597,176.70 × 294,113.80
  4. Step 4: Simplify right side
    399,089.80x = 175,637,908,508.46
  5. Step 5: Solve for x
    x = 175,637,908,508.46/399,089.80
  6. Step 6: Final answer
    x = 440,096.21

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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.