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Finding the Fourth Proportional to 465,114.20, 697,671.30 and 406,065.20

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Solution

The fourth proportional to 465,114.20, 697,671.30 and 406,065.20 is: 609,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,114.20 : 697,671.30 = 406,065.20 : x
  2. Step 2: Convert to fraction form
    465,114.20/697,671.30 = 406,065.20/x
  3. Step 3: Cross multiply
    465,114.20x = 697,671.30 × 406,065.20
  4. Step 4: Simplify right side
    465,114.20x = 283,300,035,968.76
  5. Step 5: Solve for x
    x = 283,300,035,968.76/465,114.20
  6. Step 6: Final answer
    x = 609,097.80

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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.