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Finding the Fourth Proportional to 557,246.07, 769,009.14 and 302,597.25

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Solution

The fourth proportional to 557,246.07, 769,009.14 and 302,597.25 is: 417,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,246.07 : 769,009.14 = 302,597.25 : x
  2. Step 2: Convert to fraction form
    557,246.07/769,009.14 = 302,597.25/x
  3. Step 3: Cross multiply
    557,246.07x = 769,009.14 × 302,597.25
  4. Step 4: Simplify right side
    557,246.07x = 232,700,050,988.87
  5. Step 5: Solve for x
    x = 232,700,050,988.87/557,246.07
  6. Step 6: Final answer
    x = 417,589.40

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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.