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Finding the Fourth Proportional to 525,046.40, 787,569.60 and 301,097.60

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Solution

The fourth proportional to 525,046.40, 787,569.60 and 301,097.60 is: 451,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,046.40 : 787,569.60 = 301,097.60 : x
  2. Step 2: Convert to fraction form
    525,046.40/787,569.60 = 301,097.60/x
  3. Step 3: Cross multiply
    525,046.40x = 787,569.60 × 301,097.60
  4. Step 4: Simplify right side
    525,046.40x = 237,135,316,392.96
  5. Step 5: Solve for x
    x = 237,135,316,392.96/525,046.40
  6. Step 6: Final answer
    x = 451,646.40

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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.