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Finding the Fourth Proportional to 585,531.39, 877,698.80 and 332,277.06

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Solution

The fourth proportional to 585,531.39, 877,698.80 and 332,277.06 is: 498,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,531.39 : 877,698.80 = 332,277.06 : x
  2. Step 2: Convert to fraction form
    585,531.39/877,698.80 = 332,277.06/x
  3. Step 3: Cross multiply
    585,531.39x = 877,698.80 × 332,277.06
  4. Step 4: Simplify right side
    585,531.39x = 291,639,176,829.53
  5. Step 5: Solve for x
    x = 291,639,176,829.53/585,531.39
  6. Step 6: Final answer
    x = 498,076.08

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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.