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Finding the Fourth Proportional to 657,965.80, 986,948.70 and 564,653.80

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Solution

The fourth proportional to 657,965.80, 986,948.70 and 564,653.80 is: 846,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,965.80 : 986,948.70 = 564,653.80 : x
  2. Step 2: Convert to fraction form
    657,965.80/986,948.70 = 564,653.80/x
  3. Step 3: Cross multiply
    657,965.80x = 986,948.70 × 564,653.80
  4. Step 4: Simplify right side
    657,965.80x = 557,284,333,860.06
  5. Step 5: Solve for x
    x = 557,284,333,860.06/657,965.80
  6. Step 6: Final answer
    x = 846,980.70

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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.