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Finding the Fourth Proportional to 362,405.70, 543,802.95 and 152,064.90

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Solution

The fourth proportional to 362,405.70, 543,802.95 and 152,064.90 is: 228,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,405.70 : 543,802.95 = 152,064.90 : x
  2. Step 2: Convert to fraction form
    362,405.70/543,802.95 = 152,064.90/x
  3. Step 3: Cross multiply
    362,405.70x = 543,802.95 × 152,064.90
  4. Step 4: Simplify right side
    362,405.70x = 82,693,341,211.46
  5. Step 5: Solve for x
    x = 82,693,341,211.46/362,405.70
  6. Step 6: Final answer
    x = 228,178.92

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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.