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Finding the Fourth Proportional to 736,771.40, 1,016,372.32 and 430,647.78

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Solution

The fourth proportional to 736,771.40, 1,016,372.32 and 430,647.78 is: 594,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,771.40 : 1,016,372.32 = 430,647.78 : x
  2. Step 2: Convert to fraction form
    736,771.40/1,016,372.32 = 430,647.78/x
  3. Step 3: Cross multiply
    736,771.40x = 1,016,372.32 × 430,647.78
  4. Step 4: Simplify right side
    736,771.40x = 437,698,482,184.83
  5. Step 5: Solve for x
    x = 437,698,482,184.83/736,771.40
  6. Step 6: Final answer
    x = 594,076.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.