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Finding the Fourth Proportional to 585,602.88, 878,615.04 and 230,420.16

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Solution

The fourth proportional to 585,602.88, 878,615.04 and 230,420.16 is: 345,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,602.88 : 878,615.04 = 230,420.16 : x
  2. Step 2: Convert to fraction form
    585,602.88/878,615.04 = 230,420.16/x
  3. Step 3: Cross multiply
    585,602.88x = 878,615.04 × 230,420.16
  4. Step 4: Simplify right side
    585,602.88x = 202,450,618,095.21
  5. Step 5: Solve for x
    x = 202,450,618,095.21/585,602.88
  6. Step 6: Final answer
    x = 345,713.15

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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.