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Finding the Fourth Proportional to 355,257.80, 532,433.10 and 144,657.80

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Solution

The fourth proportional to 355,257.80, 532,433.10 and 144,657.80 is: 216,802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,257.80 : 532,433.10 = 144,657.80 : x
  2. Step 2: Convert to fraction form
    355,257.80/532,433.10 = 144,657.80/x
  3. Step 3: Cross multiply
    355,257.80x = 532,433.10 × 144,657.80
  4. Step 4: Simplify right side
    355,257.80x = 77,020,600,893.18
  5. Step 5: Solve for x
    x = 77,020,600,893.18/355,257.80
  6. Step 6: Final answer
    x = 216,802.00

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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.