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Finding the Fourth Proportional to 585,510.05, 878,265.38 and 164,785.93

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Solution

The fourth proportional to 585,510.05, 878,265.38 and 164,785.93 is: 247,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,510.05 : 878,265.38 = 164,785.93 : x
  2. Step 2: Convert to fraction form
    585,510.05/878,265.38 = 164,785.93/x
  3. Step 3: Cross multiply
    585,510.05x = 878,265.38 × 164,785.93
  4. Step 4: Simplify right side
    585,510.05x = 144,725,775,646.41
  5. Step 5: Solve for x
    x = 144,725,775,646.41/585,510.05
  6. Step 6: Final answer
    x = 247,178.98

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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.