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Finding the Fourth Proportional to 585,178.96, 877,678.77 and 185,767.96

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Solution

The fourth proportional to 585,178.96, 877,678.77 and 185,767.96 is: 278,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,178.96 : 877,678.77 = 185,767.96 : x
  2. Step 2: Convert to fraction form
    585,178.96/877,678.77 = 185,767.96/x
  3. Step 3: Cross multiply
    585,178.96x = 877,678.77 × 185,767.96
  4. Step 4: Simplify right side
    585,178.96x = 163,044,594,638.21
  5. Step 5: Solve for x
    x = 163,044,594,638.21/585,178.96
  6. Step 6: Final answer
    x = 278,623.47

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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.