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Finding the Fourth Proportional to 802,059.14, 1,106,768 and 462,461.78

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Solution

The fourth proportional to 802,059.14, 1,106,768 and 462,461.78 is: 638,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,059.14 : 1,106,768 = 462,461.78 : x
  2. Step 2: Convert to fraction form
    802,059.14/1,106,768 = 462,461.78/x
  3. Step 3: Cross multiply
    802,059.14x = 1,106,768 × 462,461.78
  4. Step 4: Simplify right side
    802,059.14x = 511,837,899,327.04
  5. Step 5: Solve for x
    x = 511,837,899,327.04/802,059.14
  6. Step 6: Final answer
    x = 638,154.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.