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Finding the Fourth Proportional to 640,623, 961,514.06 and 341,356.35

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Solution

The fourth proportional to 640,623, 961,514.06 and 341,356.35 is: 512,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,623 : 961,514.06 = 341,356.35 : x
  2. Step 2: Convert to fraction form
    640,623/961,514.06 = 341,356.35/x
  3. Step 3: Cross multiply
    640,623x = 961,514.06 × 341,356.35
  4. Step 4: Simplify right side
    640,623x = 328,218,928,288.50
  5. Step 5: Solve for x
    x = 328,218,928,288.50/640,623
  6. Step 6: Final answer
    x = 512,343.34

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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.