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Finding the Fourth Proportional to 1,184,302, 1,776,468.12 and 342,854.56

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Solution

The fourth proportional to 1,184,302, 1,776,468.12 and 342,854.56 is: 514,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,302 : 1,776,468.12 = 342,854.56 : x
  2. Step 2: Convert to fraction form
    1,184,302/1,776,468.12 = 342,854.56/x
  3. Step 3: Cross multiply
    1,184,302x = 1,776,468.12 × 342,854.56
  4. Step 4: Simplify right side
    1,184,302x = 609,070,195,636.63
  5. Step 5: Solve for x
    x = 609,070,195,636.63/1,184,302
  6. Step 6: Final answer
    x = 514,286.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.