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Finding the Fourth Proportional to 468,031.71, 701,913.65 and 152,516.19

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Solution

The fourth proportional to 468,031.71, 701,913.65 and 152,516.19 is: 228,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,031.71 : 701,913.65 = 152,516.19 : x
  2. Step 2: Convert to fraction form
    468,031.71/701,913.65 = 152,516.19/x
  3. Step 3: Cross multiply
    468,031.71x = 701,913.65 × 152,516.19
  4. Step 4: Simplify right side
    468,031.71x = 107,053,194,844.41
  5. Step 5: Solve for x
    x = 107,053,194,844.41/468,031.71
  6. Step 6: Final answer
    x = 228,730.64

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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.