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Finding the Fourth Proportional to 735,407.64, 1,014,863.14 and 413,117.96

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Solution

The fourth proportional to 735,407.64, 1,014,863.14 and 413,117.96 is: 570,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,407.64 : 1,014,863.14 = 413,117.96 : x
  2. Step 2: Convert to fraction form
    735,407.64/1,014,863.14 = 413,117.96/x
  3. Step 3: Cross multiply
    735,407.64x = 1,014,863.14 × 413,117.96
  4. Step 4: Simplify right side
    735,407.64x = 419,258,185,518.08
  5. Step 5: Solve for x
    x = 419,258,185,518.08/735,407.64
  6. Step 6: Final answer
    x = 570,103.11

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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.