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Finding the Fourth Proportional to 584,886.80, 877,265.40 and 164,205.20

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Solution

The fourth proportional to 584,886.80, 877,265.40 and 164,205.20 is: 246,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,886.80 : 877,265.40 = 164,205.20 : x
  2. Step 2: Convert to fraction form
    584,886.80/877,265.40 = 164,205.20/x
  3. Step 3: Cross multiply
    584,886.80x = 877,265.40 × 164,205.20
  4. Step 4: Simplify right side
    584,886.80x = 144,051,540,460.08
  5. Step 5: Solve for x
    x = 144,051,540,460.08/584,886.80
  6. Step 6: Final answer
    x = 246,289.61

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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.