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Finding the Fourth Proportional to 464,074.60, 696,111.90 and 148,541.80

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Solution

The fourth proportional to 464,074.60, 696,111.90 and 148,541.80 is: 222,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,074.60 : 696,111.90 = 148,541.80 : x
  2. Step 2: Convert to fraction form
    464,074.60/696,111.90 = 148,541.80/x
  3. Step 3: Cross multiply
    464,074.60x = 696,111.90 × 148,541.80
  4. Step 4: Simplify right side
    464,074.60x = 103,401,714,627.42
  5. Step 5: Solve for x
    x = 103,401,714,627.42/464,074.60
  6. Step 6: Final answer
    x = 222,812.70

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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.