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Finding the Fourth Proportional to 730,403.12, 1,007,954.18 and 408,113.45

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Solution

The fourth proportional to 730,403.12, 1,007,954.18 and 408,113.45 is: 563,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,403.12 : 1,007,954.18 = 408,113.45 : x
  2. Step 2: Convert to fraction form
    730,403.12/1,007,954.18 = 408,113.45/x
  3. Step 3: Cross multiply
    730,403.12x = 1,007,954.18 × 408,113.45
  4. Step 4: Simplify right side
    730,403.12x = 411,359,658,321.04
  5. Step 5: Solve for x
    x = 411,359,658,321.04/730,403.12
  6. Step 6: Final answer
    x = 563,195.38

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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.