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Finding the Fourth Proportional to 465,605.04, 698,670 and 462,047.52

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Solution

The fourth proportional to 465,605.04, 698,670 and 462,047.52 is: 693,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,605.04 : 698,670 = 462,047.52 : x
  2. Step 2: Convert to fraction form
    465,605.04/698,670 = 462,047.52/x
  3. Step 3: Cross multiply
    465,605.04x = 698,670 × 462,047.52
  4. Step 4: Simplify right side
    465,605.04x = 322,818,740,798.40
  5. Step 5: Solve for x
    x = 322,818,740,798.40/465,605.04
  6. Step 6: Final answer
    x = 693,331.71

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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.