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Finding the Fourth Proportional to 354,503.52, 531,855.76 and 144,292.32

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Solution

The fourth proportional to 354,503.52, 531,855.76 and 144,292.32 is: 216,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,503.52 : 531,855.76 = 144,292.32 : x
  2. Step 2: Convert to fraction form
    354,503.52/531,855.76 = 144,292.32/x
  3. Step 3: Cross multiply
    354,503.52x = 531,855.76 × 144,292.32
  4. Step 4: Simplify right side
    354,503.52x = 76,742,701,515.76
  5. Step 5: Solve for x
    x = 76,742,701,515.76/354,503.52
  6. Step 6: Final answer
    x = 216,479.38

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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.