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Finding the Fourth Proportional to 484,858.81, 727,402.70 and 152,434.81

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Solution

The fourth proportional to 484,858.81, 727,402.70 and 152,434.81 is: 228,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,858.81 : 727,402.70 = 152,434.81 : x
  2. Step 2: Convert to fraction form
    484,858.81/727,402.70 = 152,434.81/x
  3. Step 3: Cross multiply
    484,858.81x = 727,402.70 × 152,434.81
  4. Step 4: Simplify right side
    484,858.81x = 110,881,492,367.99
  5. Step 5: Solve for x
    x = 110,881,492,367.99/484,858.81
  6. Step 6: Final answer
    x = 228,688.21

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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.