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Finding the Fourth Proportional to 752,653.80, 1,038,674.02 and 413,153

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Solution

The fourth proportional to 752,653.80, 1,038,674.02 and 413,153 is: 570,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,653.80 : 1,038,674.02 = 413,153 : x
  2. Step 2: Convert to fraction form
    752,653.80/1,038,674.02 = 413,153/x
  3. Step 3: Cross multiply
    752,653.80x = 1,038,674.02 × 413,153
  4. Step 4: Simplify right side
    752,653.80x = 429,131,287,385.06
  5. Step 5: Solve for x
    x = 429,131,287,385.06/752,653.80
  6. Step 6: Final answer
    x = 570,157.60

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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.