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Finding the Fourth Proportional to 465,132.60, 697,698.90 and 457,259.40

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Solution

The fourth proportional to 465,132.60, 697,698.90 and 457,259.40 is: 685,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,132.60 : 697,698.90 = 457,259.40 : x
  2. Step 2: Convert to fraction form
    465,132.60/697,698.90 = 457,259.40/x
  3. Step 3: Cross multiply
    465,132.60x = 697,698.90 × 457,259.40
  4. Step 4: Simplify right side
    465,132.60x = 319,029,380,394.66
  5. Step 5: Solve for x
    x = 319,029,380,394.66/465,132.60
  6. Step 6: Final answer
    x = 685,889.10

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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.