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Finding the Fourth Proportional to 735,417.36, 1,014,970.76 and 413,189.75

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Solution

The fourth proportional to 735,417.36, 1,014,970.76 and 413,189.75 is: 570,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,417.36 : 1,014,970.76 = 413,189.75 : x
  2. Step 2: Convert to fraction form
    735,417.36/1,014,970.76 = 413,189.75/x
  3. Step 3: Cross multiply
    735,417.36x = 1,014,970.76 × 413,189.75
  4. Step 4: Simplify right side
    735,417.36x = 419,375,509,506.86
  5. Step 5: Solve for x
    x = 419,375,509,506.86/735,417.36
  6. Step 6: Final answer
    x = 570,255.11

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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.