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Finding the Fourth Proportional to 464,076.60, 696,114.90 and 148,543.80

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Solution

The fourth proportional to 464,076.60, 696,114.90 and 148,543.80 is: 222,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,076.60 : 696,114.90 = 148,543.80 : x
  2. Step 2: Convert to fraction form
    464,076.60/696,114.90 = 148,543.80/x
  3. Step 3: Cross multiply
    464,076.60x = 696,114.90 × 148,543.80
  4. Step 4: Simplify right side
    464,076.60x = 103,403,552,482.62
  5. Step 5: Solve for x
    x = 103,403,552,482.62/464,076.60
  6. Step 6: Final answer
    x = 222,815.70

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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.