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Finding the Fourth Proportional to 657,123.90, 984,519.45 and 407,514.30

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Solution

The fourth proportional to 657,123.90, 984,519.45 and 407,514.30 is: 610,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,123.90 : 984,519.45 = 407,514.30 : x
  2. Step 2: Convert to fraction form
    657,123.90/984,519.45 = 407,514.30/x
  3. Step 3: Cross multiply
    657,123.90x = 984,519.45 × 407,514.30
  4. Step 4: Simplify right side
    657,123.90x = 401,205,754,503.14
  5. Step 5: Solve for x
    x = 401,205,754,503.14/657,123.90
  6. Step 6: Final answer
    x = 610,548.11

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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.