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Finding the Fourth Proportional to 434,434.60, 652,235.10 and 277,359.40

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Solution

The fourth proportional to 434,434.60, 652,235.10 and 277,359.40 is: 416,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,434.60 : 652,235.10 = 277,359.40 : x
  2. Step 2: Convert to fraction form
    434,434.60/652,235.10 = 277,359.40/x
  3. Step 3: Cross multiply
    434,434.60x = 652,235.10 × 277,359.40
  4. Step 4: Simplify right side
    434,434.60x = 180,903,535,994.94
  5. Step 5: Solve for x
    x = 180,903,535,994.94/434,434.60
  6. Step 6: Final answer
    x = 416,411.44

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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.