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Finding the Fourth Proportional to 614,104.63, 847,816.07 and 410,500.40

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Solution

The fourth proportional to 614,104.63, 847,816.07 and 410,500.40 is: 566,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,104.63 : 847,816.07 = 410,500.40 : x
  2. Step 2: Convert to fraction form
    614,104.63/847,816.07 = 410,500.40/x
  3. Step 3: Cross multiply
    614,104.63x = 847,816.07 × 410,500.40
  4. Step 4: Simplify right side
    614,104.63x = 348,028,829,569.85
  5. Step 5: Solve for x
    x = 348,028,829,569.85/614,104.63
  6. Step 6: Final answer
    x = 566,725.63

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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.