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Finding the Fourth Proportional to 570,624.84, 787,462.10 and 315,975.96

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Solution

The fourth proportional to 570,624.84, 787,462.10 and 315,975.96 is: 436,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,624.84 : 787,462.10 = 315,975.96 : x
  2. Step 2: Convert to fraction form
    570,624.84/787,462.10 = 315,975.96/x
  3. Step 3: Cross multiply
    570,624.84x = 787,462.10 × 315,975.96
  4. Step 4: Simplify right side
    570,624.84x = 248,819,093,011.12
  5. Step 5: Solve for x
    x = 248,819,093,011.12/570,624.84
  6. Step 6: Final answer
    x = 436,046.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.