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Finding the Fourth Proportional to 434,731.40, 652,097.10 and 376,411.40

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Solution

The fourth proportional to 434,731.40, 652,097.10 and 376,411.40 is: 564,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,731.40 : 652,097.10 = 376,411.40 : x
  2. Step 2: Convert to fraction form
    434,731.40/652,097.10 = 376,411.40/x
  3. Step 3: Cross multiply
    434,731.40x = 652,097.10 × 376,411.40
  4. Step 4: Simplify right side
    434,731.40x = 245,456,782,346.94
  5. Step 5: Solve for x
    x = 245,456,782,346.94/434,731.40
  6. Step 6: Final answer
    x = 564,617.10

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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.