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Finding the Fourth Proportional to 735,782.40, 1,015,364.16 and 434,073.60

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Solution

The fourth proportional to 735,782.40, 1,015,364.16 and 434,073.60 is: 599,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,782.40 : 1,015,364.16 = 434,073.60 : x
  2. Step 2: Convert to fraction form
    735,782.40/1,015,364.16 = 434,073.60/x
  3. Step 3: Cross multiply
    735,782.40x = 1,015,364.16 × 434,073.60
  4. Step 4: Simplify right side
    735,782.40x = 440,742,776,242.18
  5. Step 5: Solve for x
    x = 440,742,776,242.18/735,782.40
  6. Step 6: Final answer
    x = 599,012.39

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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.