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Finding the Fourth Proportional to 556,414.30, 767,852.63 and 301,765.69

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Solution

The fourth proportional to 556,414.30, 767,852.63 and 301,765.69 is: 416,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,414.30 : 767,852.63 = 301,765.69 : x
  2. Step 2: Convert to fraction form
    556,414.30/767,852.63 = 301,765.69/x
  3. Step 3: Cross multiply
    556,414.30x = 767,852.63 × 301,765.69
  4. Step 4: Simplify right side
    556,414.30x = 231,711,578,710.27
  5. Step 5: Solve for x
    x = 231,711,578,710.27/556,414.30
  6. Step 6: Final answer
    x = 416,437.14

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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.