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Finding the Fourth Proportional to 438,417.30, 614,406.30 and 438,417.30

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Solution

The fourth proportional to 438,417.30, 614,406.30 and 438,417.30 is: 614,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,417.30 : 614,406.30 = 438,417.30 : x
  2. Step 2: Convert to fraction form
    438,417.30/614,406.30 = 438,417.30/x
  3. Step 3: Cross multiply
    438,417.30x = 614,406.30 × 438,417.30
  4. Step 4: Simplify right side
    438,417.30x = 269,366,351,148.99
  5. Step 5: Solve for x
    x = 269,366,351,148.99/438,417.30
  6. Step 6: Final answer
    x = 614,406.30

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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.