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Finding the Fourth Proportional to 429,943.40, 644,915.10 and 429,943.40

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Solution

The fourth proportional to 429,943.40, 644,915.10 and 429,943.40 is: 644,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,943.40 : 644,915.10 = 429,943.40 : x
  2. Step 2: Convert to fraction form
    429,943.40/644,915.10 = 429,943.40/x
  3. Step 3: Cross multiply
    429,943.40x = 644,915.10 × 429,943.40
  4. Step 4: Simplify right side
    429,943.40x = 277,276,990,805.34
  5. Step 5: Solve for x
    x = 277,276,990,805.34/429,943.40
  6. Step 6: Final answer
    x = 644,915.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.