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Finding the Fourth Proportional to 585,041.56, 877,595.16 and 164,284.63

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Solution

The fourth proportional to 585,041.56, 877,595.16 and 164,284.63 is: 246,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,041.56 : 877,595.16 = 164,284.63 : x
  2. Step 2: Convert to fraction form
    585,041.56/877,595.16 = 164,284.63/x
  3. Step 3: Cross multiply
    585,041.56x = 877,595.16 × 164,284.63
  4. Step 4: Simplify right side
    585,041.56x = 144,175,396,150.39
  5. Step 5: Solve for x
    x = 144,175,396,150.39/585,041.56
  6. Step 6: Final answer
    x = 246,436.16

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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.