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Finding the Fourth Proportional to 434,905.30, 652,357.95 and 434,905.30

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Solution

The fourth proportional to 434,905.30, 652,357.95 and 434,905.30 is: 652,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,905.30 : 652,357.95 = 434,905.30 : x
  2. Step 2: Convert to fraction form
    434,905.30/652,357.95 = 434,905.30/x
  3. Step 3: Cross multiply
    434,905.30x = 652,357.95 × 434,905.30
  4. Step 4: Simplify right side
    434,905.30x = 283,713,929,952.14
  5. Step 5: Solve for x
    x = 283,713,929,952.14/434,905.30
  6. Step 6: Final answer
    x = 652,357.95

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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.