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Finding the Fourth Proportional to 707,996.52, 977,030.10 and 385,706.52

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Solution

The fourth proportional to 707,996.52, 977,030.10 and 385,706.52 is: 532,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,996.52 : 977,030.10 = 385,706.52 : x
  2. Step 2: Convert to fraction form
    707,996.52/977,030.10 = 385,706.52/x
  3. Step 3: Cross multiply
    707,996.52x = 977,030.10 × 385,706.52
  4. Step 4: Simplify right side
    707,996.52x = 376,846,879,806.25
  5. Step 5: Solve for x
    x = 376,846,879,806.25/707,996.52
  6. Step 6: Final answer
    x = 532,272.22

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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.