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Finding the Fourth Proportional to 686,753, 1,030,413 and 370,837.88

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Solution

The fourth proportional to 686,753, 1,030,413 and 370,837.88 is: 556,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,753 : 1,030,413 = 370,837.88 : x
  2. Step 2: Convert to fraction form
    686,753/1,030,413 = 370,837.88/x
  3. Step 3: Cross multiply
    686,753x = 1,030,413 × 370,837.88
  4. Step 4: Simplify right side
    686,753x = 382,116,172,444.44
  5. Step 5: Solve for x
    x = 382,116,172,444.44/686,753
  6. Step 6: Final answer
    x = 556,409.91

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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.