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Finding the Fourth Proportional to 585,615.80, 878,462.10 and 164,905.40

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Solution

The fourth proportional to 585,615.80, 878,462.10 and 164,905.40 is: 247,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,615.80 : 878,462.10 = 164,905.40 : x
  2. Step 2: Convert to fraction form
    585,615.80/878,462.10 = 164,905.40/x
  3. Step 3: Cross multiply
    585,615.80x = 878,462.10 × 164,905.40
  4. Step 4: Simplify right side
    585,615.80x = 144,863,143,985.34
  5. Step 5: Solve for x
    x = 144,863,143,985.34/585,615.80
  6. Step 6: Final answer
    x = 247,368.91

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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.