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Finding the Fourth Proportional to 462,214.40, 693,386.40 and 181,666.40

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Solution

The fourth proportional to 462,214.40, 693,386.40 and 181,666.40 is: 272,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,214.40 : 693,386.40 = 181,666.40 : x
  2. Step 2: Convert to fraction form
    462,214.40/693,386.40 = 181,666.40/x
  3. Step 3: Cross multiply
    462,214.40x = 693,386.40 × 181,666.40
  4. Step 4: Simplify right side
    462,214.40x = 125,965,011,096.96
  5. Step 5: Solve for x
    x = 125,965,011,096.96/462,214.40
  6. Step 6: Final answer
    x = 272,525.07

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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.