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Finding the Fourth Proportional to 1,308,645.93, 1,962,965.91 and 410,156.13

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Solution

The fourth proportional to 1,308,645.93, 1,962,965.91 and 410,156.13 is: 615,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,645.93 : 1,962,965.91 = 410,156.13 : x
  2. Step 2: Convert to fraction form
    1,308,645.93/1,962,965.91 = 410,156.13/x
  3. Step 3: Cross multiply
    1,308,645.93x = 1,962,965.91 × 410,156.13
  4. Step 4: Simplify right side
    1,308,645.93x = 805,122,500,967.53
  5. Step 5: Solve for x
    x = 805,122,500,967.53/1,308,645.93
  6. Step 6: Final answer
    x = 615,233.26

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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.