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Finding the Fourth Proportional to 462,451.01, 693,206.64 and 312,708.33

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Solution

The fourth proportional to 462,451.01, 693,206.64 and 312,708.33 is: 468,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,451.01 : 693,206.64 = 312,708.33 : x
  2. Step 2: Convert to fraction form
    462,451.01/693,206.64 = 312,708.33/x
  3. Step 3: Cross multiply
    462,451.01x = 693,206.64 × 312,708.33
  4. Step 4: Simplify right side
    462,451.01x = 216,771,490,739.31
  5. Step 5: Solve for x
    x = 216,771,490,739.31/462,451.01
  6. Step 6: Final answer
    x = 468,744.77

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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.