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Finding the Fourth Proportional to 464,771.60, 697,157.40 and 433,278.80

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Solution

The fourth proportional to 464,771.60, 697,157.40 and 433,278.80 is: 649,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,771.60 : 697,157.40 = 433,278.80 : x
  2. Step 2: Convert to fraction form
    464,771.60/697,157.40 = 433,278.80/x
  3. Step 3: Cross multiply
    464,771.60x = 697,157.40 × 433,278.80
  4. Step 4: Simplify right side
    464,771.60x = 302,063,521,683.12
  5. Step 5: Solve for x
    x = 302,063,521,683.12/464,771.60
  6. Step 6: Final answer
    x = 649,918.20

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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.