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Finding the Fourth Proportional to 465,780.80, 698,210.40 and 228,929.60

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Solution

The fourth proportional to 465,780.80, 698,210.40 and 228,929.60 is: 343,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,780.80 : 698,210.40 = 228,929.60 : x
  2. Step 2: Convert to fraction form
    465,780.80/698,210.40 = 228,929.60/x
  3. Step 3: Cross multiply
    465,780.80x = 698,210.40 × 228,929.60
  4. Step 4: Simplify right side
    465,780.80x = 159,841,027,587.84
  5. Step 5: Solve for x
    x = 159,841,027,587.84/465,780.80
  6. Step 6: Final answer
    x = 343,167.92

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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.