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Finding the Fourth Proportional to 326,076.40, 489,114.60 and 148,929.40

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Solution

The fourth proportional to 326,076.40, 489,114.60 and 148,929.40 is: 223,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,076.40 : 489,114.60 = 148,929.40 : x
  2. Step 2: Convert to fraction form
    326,076.40/489,114.60 = 148,929.40/x
  3. Step 3: Cross multiply
    326,076.40x = 489,114.60 × 148,929.40
  4. Step 4: Simplify right side
    326,076.40x = 72,843,543,909.24
  5. Step 5: Solve for x
    x = 72,843,543,909.24/326,076.40
  6. Step 6: Final answer
    x = 223,394.10

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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.