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Finding the Fourth Proportional to 752,652.80, 1,038,672.64 and 413,152

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Solution

The fourth proportional to 752,652.80, 1,038,672.64 and 413,152 is: 570,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,652.80 : 1,038,672.64 = 413,152 : x
  2. Step 2: Convert to fraction form
    752,652.80/1,038,672.64 = 413,152/x
  3. Step 3: Cross multiply
    752,652.80x = 1,038,672.64 × 413,152
  4. Step 4: Simplify right side
    752,652.80x = 429,129,678,561.28
  5. Step 5: Solve for x
    x = 429,129,678,561.28/752,652.80
  6. Step 6: Final answer
    x = 570,156.22

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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.