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Finding the Fourth Proportional to 465,087.60, 697,631.40 and 457,214.40

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Solution

The fourth proportional to 465,087.60, 697,631.40 and 457,214.40 is: 685,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,087.60 : 697,631.40 = 457,214.40 : x
  2. Step 2: Convert to fraction form
    465,087.60/697,631.40 = 457,214.40/x
  3. Step 3: Cross multiply
    465,087.60x = 697,631.40 × 457,214.40
  4. Step 4: Simplify right side
    465,087.60x = 318,967,121,972.16
  5. Step 5: Solve for x
    x = 318,967,121,972.16/465,087.60
  6. Step 6: Final answer
    x = 685,821.60

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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.