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Finding the Fourth Proportional to 429,848.40, 644,772.60 and 429,848.40

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Solution

The fourth proportional to 429,848.40, 644,772.60 and 429,848.40 is: 644,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,848.40 : 644,772.60 = 429,848.40 : x
  2. Step 2: Convert to fraction form
    429,848.40/644,772.60 = 429,848.40/x
  3. Step 3: Cross multiply
    429,848.40x = 644,772.60 × 429,848.40
  4. Step 4: Simplify right side
    429,848.40x = 277,154,470,473.84
  5. Step 5: Solve for x
    x = 277,154,470,473.84/429,848.40
  6. Step 6: Final answer
    x = 644,772.60

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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.