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Finding the Fourth Proportional to 657,828.60, 984,774.60 and 586,969.80

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Solution

The fourth proportional to 657,828.60, 984,774.60 and 586,969.80 is: 878,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,828.60 : 984,774.60 = 586,969.80 : x
  2. Step 2: Convert to fraction form
    657,828.60/984,774.60 = 586,969.80/x
  3. Step 3: Cross multiply
    657,828.60x = 984,774.60 × 586,969.80
  4. Step 4: Simplify right side
    657,828.60x = 578,032,950,007.08
  5. Step 5: Solve for x
    x = 578,032,950,007.08/657,828.60
  6. Step 6: Final answer
    x = 878,698.42

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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.