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Finding the Fourth Proportional to 472,901.60, 709,352.40 and 413,852.60

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Solution

The fourth proportional to 472,901.60, 709,352.40 and 413,852.60 is: 620,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,901.60 : 709,352.40 = 413,852.60 : x
  2. Step 2: Convert to fraction form
    472,901.60/709,352.40 = 413,852.60/x
  3. Step 3: Cross multiply
    472,901.60x = 709,352.40 × 413,852.60
  4. Step 4: Simplify right side
    472,901.60x = 293,567,335,056.24
  5. Step 5: Solve for x
    x = 293,567,335,056.24/472,901.60
  6. Step 6: Final answer
    x = 620,778.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.