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Finding the Fourth Proportional to 429,575.40, 644,363.10 and 302,948.10

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Solution

The fourth proportional to 429,575.40, 644,363.10 and 302,948.10 is: 454,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,575.40 : 644,363.10 = 302,948.10 : x
  2. Step 2: Convert to fraction form
    429,575.40/644,363.10 = 302,948.10/x
  3. Step 3: Cross multiply
    429,575.40x = 644,363.10 × 302,948.10
  4. Step 4: Simplify right side
    429,575.40x = 195,208,576,855.11
  5. Step 5: Solve for x
    x = 195,208,576,855.11/429,575.40
  6. Step 6: Final answer
    x = 454,422.15

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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.