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Finding the Fourth Proportional to 585,784.56, 877,673.76 and 319,731.84

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Solution

The fourth proportional to 585,784.56, 877,673.76 and 319,731.84 is: 479,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,784.56 : 877,673.76 = 319,731.84 : x
  2. Step 2: Convert to fraction form
    585,784.56/877,673.76 = 319,731.84/x
  3. Step 3: Cross multiply
    585,784.56x = 877,673.76 × 319,731.84
  4. Step 4: Simplify right side
    585,784.56x = 280,620,246,204.52
  5. Step 5: Solve for x
    x = 280,620,246,204.52/585,784.56
  6. Step 6: Final answer
    x = 479,050.26

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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.