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Finding the Fourth Proportional to 585,155.94, 877,484.68 and 229,920.77

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Solution

The fourth proportional to 585,155.94, 877,484.68 and 229,920.77 is: 344,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,155.94 : 877,484.68 = 229,920.77 : x
  2. Step 2: Convert to fraction form
    585,155.94/877,484.68 = 229,920.77/x
  3. Step 3: Cross multiply
    585,155.94x = 877,484.68 × 229,920.77
  4. Step 4: Simplify right side
    585,155.94x = 201,751,953,288.80
  5. Step 5: Solve for x
    x = 201,751,953,288.80/585,155.94
  6. Step 6: Final answer
    x = 344,783.23

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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.