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Finding the Fourth Proportional to 656,784.40, 985,322.40 and 301,712.80

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Solution

The fourth proportional to 656,784.40, 985,322.40 and 301,712.80 is: 452,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,784.40 : 985,322.40 = 301,712.80 : x
  2. Step 2: Convert to fraction form
    656,784.40/985,322.40 = 301,712.80/x
  3. Step 3: Cross multiply
    656,784.40x = 985,322.40 × 301,712.80
  4. Step 4: Simplify right side
    656,784.40x = 297,284,380,206.72
  5. Step 5: Solve for x
    x = 297,284,380,206.72/656,784.40
  6. Step 6: Final answer
    x = 452,636.18

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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.