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Finding the Fourth Proportional to 705,290.56, 973,312.58 and 399,358.88

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Solution

The fourth proportional to 705,290.56, 973,312.58 and 399,358.88 is: 551,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,290.56 : 973,312.58 = 399,358.88 : x
  2. Step 2: Convert to fraction form
    705,290.56/973,312.58 = 399,358.88/x
  3. Step 3: Cross multiply
    705,290.56x = 973,312.58 × 399,358.88
  4. Step 4: Simplify right side
    705,290.56x = 388,701,021,838.71
  5. Step 5: Solve for x
    x = 388,701,021,838.71/705,290.56
  6. Step 6: Final answer
    x = 551,121.83

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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.