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Finding the Fourth Proportional to 585,062.78, 877,594.26 and 141,830.78

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Solution

The fourth proportional to 585,062.78, 877,594.26 and 141,830.78 is: 212,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,062.78 : 877,594.26 = 141,830.78 : x
  2. Step 2: Convert to fraction form
    585,062.78/877,594.26 = 141,830.78/x
  3. Step 3: Cross multiply
    585,062.78x = 877,594.26 × 141,830.78
  4. Step 4: Simplify right side
    585,062.78x = 124,469,878,419.32
  5. Step 5: Solve for x
    x = 124,469,878,419.32/585,062.78
  6. Step 6: Final answer
    x = 212,746.19

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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.