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Finding the Fourth Proportional to 657,128.64, 985,692.96 and 257,957.40

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Solution

The fourth proportional to 657,128.64, 985,692.96 and 257,957.40 is: 386,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,128.64 : 985,692.96 = 257,957.40 : x
  2. Step 2: Convert to fraction form
    657,128.64/985,692.96 = 257,957.40/x
  3. Step 3: Cross multiply
    657,128.64x = 985,692.96 × 257,957.40
  4. Step 4: Simplify right side
    657,128.64x = 254,266,793,159.90
  5. Step 5: Solve for x
    x = 254,266,793,159.90/657,128.64
  6. Step 6: Final answer
    x = 386,936.10

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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.