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Finding the Fourth Proportional to 465,110.70, 697,666.05 and 406,061.70

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Solution

The fourth proportional to 465,110.70, 697,666.05 and 406,061.70 is: 609,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,110.70 : 697,666.05 = 406,061.70 : x
  2. Step 2: Convert to fraction form
    465,110.70/697,666.05 = 406,061.70/x
  3. Step 3: Cross multiply
    465,110.70x = 697,666.05 × 406,061.70
  4. Step 4: Simplify right side
    465,110.70x = 283,295,462,295.29
  5. Step 5: Solve for x
    x = 283,295,462,295.29/465,110.70
  6. Step 6: Final answer
    x = 609,092.55

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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.