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Finding the Fourth Proportional to 438,414.30, 614,402.10 and 438,414.30

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Solution

The fourth proportional to 438,414.30, 614,402.10 and 438,414.30 is: 614,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,414.30 : 614,402.10 = 438,414.30 : x
  2. Step 2: Convert to fraction form
    438,414.30/614,402.10 = 438,414.30/x
  3. Step 3: Cross multiply
    438,414.30x = 614,402.10 × 438,414.30
  4. Step 4: Simplify right side
    438,414.30x = 269,362,666,590.03
  5. Step 5: Solve for x
    x = 269,362,666,590.03/438,414.30
  6. Step 6: Final answer
    x = 614,402.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.