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Finding the Fourth Proportional to 706,843.38, 975,448.12 and 384,555.80

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Solution

The fourth proportional to 706,843.38, 975,448.12 and 384,555.80 is: 530,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,843.38 : 975,448.12 = 384,555.80 : x
  2. Step 2: Convert to fraction form
    706,843.38/975,448.12 = 384,555.80/x
  3. Step 3: Cross multiply
    706,843.38x = 975,448.12 × 384,555.80
  4. Step 4: Simplify right side
    706,843.38x = 375,114,232,145.10
  5. Step 5: Solve for x
    x = 375,114,232,145.10/706,843.38
  6. Step 6: Final answer
    x = 530,689.32

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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.