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Finding the Fourth Proportional to 546,210.83, 753,815.84 and 301,243.51

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Solution

The fourth proportional to 546,210.83, 753,815.84 and 301,243.51 is: 415,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,210.83 : 753,815.84 = 301,243.51 : x
  2. Step 2: Convert to fraction form
    546,210.83/753,815.84 = 301,243.51/x
  3. Step 3: Cross multiply
    546,210.83x = 753,815.84 × 301,243.51
  4. Step 4: Simplify right side
    546,210.83x = 227,082,129,535.20
  5. Step 5: Solve for x
    x = 227,082,129,535.20/546,210.83
  6. Step 6: Final answer
    x = 415,740.80

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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.