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Finding the Fourth Proportional to 604,829.60, 907,244.40 and 464,861.60

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Solution

The fourth proportional to 604,829.60, 907,244.40 and 464,861.60 is: 697,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,829.60 : 907,244.40 = 464,861.60 : x
  2. Step 2: Convert to fraction form
    604,829.60/907,244.40 = 464,861.60/x
  3. Step 3: Cross multiply
    604,829.60x = 907,244.40 × 464,861.60
  4. Step 4: Simplify right side
    604,829.60x = 421,743,083,375.04
  5. Step 5: Solve for x
    x = 421,743,083,375.04/604,829.60
  6. Step 6: Final answer
    x = 697,292.40

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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.