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Finding the Fourth Proportional to 464,611.85, 696,770.10 and 315,808.37

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Solution

The fourth proportional to 464,611.85, 696,770.10 and 315,808.37 is: 473,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,611.85 : 696,770.10 = 315,808.37 : x
  2. Step 2: Convert to fraction form
    464,611.85/696,770.10 = 315,808.37/x
  3. Step 3: Cross multiply
    464,611.85x = 696,770.10 × 315,808.37
  4. Step 4: Simplify right side
    464,611.85x = 220,045,828,674.77
  5. Step 5: Solve for x
    x = 220,045,828,674.77/464,611.85
  6. Step 6: Final answer
    x = 473,612.18

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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.