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Finding the Fourth Proportional to 464,512.60, 697,287.30 and 434,056.60

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Solution

The fourth proportional to 464,512.60, 697,287.30 and 434,056.60 is: 651,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,512.60 : 697,287.30 = 434,056.60 : x
  2. Step 2: Convert to fraction form
    464,512.60/697,287.30 = 434,056.60/x
  3. Step 3: Cross multiply
    464,512.60x = 697,287.30 × 434,056.60
  4. Step 4: Simplify right side
    464,512.60x = 302,662,154,661.18
  5. Step 5: Solve for x
    x = 302,662,154,661.18/464,512.60
  6. Step 6: Final answer
    x = 651,569.31

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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.