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Finding the Fourth Proportional to 418,559.84, 577,897.68 and 280,945.16

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Solution

The fourth proportional to 418,559.84, 577,897.68 and 280,945.16 is: 387,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,559.84 : 577,897.68 = 280,945.16 : x
  2. Step 2: Convert to fraction form
    418,559.84/577,897.68 = 280,945.16/x
  3. Step 3: Cross multiply
    418,559.84x = 577,897.68 × 280,945.16
  4. Step 4: Simplify right side
    418,559.84x = 162,357,556,171.23
  5. Step 5: Solve for x
    x = 162,357,556,171.23/418,559.84
  6. Step 6: Final answer
    x = 387,895.69

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