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Finding the Fourth Proportional to 657,142.80, 985,973.40 and 257,715.60

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Solution

The fourth proportional to 657,142.80, 985,973.40 and 257,715.60 is: 386,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,142.80 : 985,973.40 = 257,715.60 : x
  2. Step 2: Convert to fraction form
    657,142.80/985,973.40 = 257,715.60/x
  3. Step 3: Cross multiply
    657,142.80x = 985,973.40 × 257,715.60
  4. Step 4: Simplify right side
    657,142.80x = 254,100,726,365.04
  5. Step 5: Solve for x
    x = 254,100,726,365.04/657,142.80
  6. Step 6: Final answer
    x = 386,675.05

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1.5x scale

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.