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Finding the Fourth Proportional to 556,057.19, 767,338.35 and 301,402.91

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Solution

The fourth proportional to 556,057.19, 767,338.35 and 301,402.91 is: 415,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,057.19 : 767,338.35 = 301,402.91 : x
  2. Step 2: Convert to fraction form
    556,057.19/767,338.35 = 301,402.91/x
  3. Step 3: Cross multiply
    556,057.19x = 767,338.35 × 301,402.91
  4. Step 4: Simplify right side
    556,057.19x = 231,278,007,807.91
  5. Step 5: Solve for x
    x = 231,278,007,807.91/556,057.19
  6. Step 6: Final answer
    x = 415,924.86

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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.