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Finding the Fourth Proportional to 464,159.70, 696,275.46 and 197,921.88

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Solution

The fourth proportional to 464,159.70, 696,275.46 and 197,921.88 is: 296,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,159.70 : 696,275.46 = 197,921.88 : x
  2. Step 2: Convert to fraction form
    464,159.70/696,275.46 = 197,921.88/x
  3. Step 3: Cross multiply
    464,159.70x = 696,275.46 × 197,921.88
  4. Step 4: Simplify right side
    464,159.70x = 137,808,148,041.07
  5. Step 5: Solve for x
    x = 137,808,148,041.07/464,159.70
  6. Step 6: Final answer
    x = 296,898.13

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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.