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Finding the Fourth Proportional to 514,344.51, 771,235.53 and 408,408.96

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Solution

The fourth proportional to 514,344.51, 771,235.53 and 408,408.96 is: 612,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,344.51 : 771,235.53 = 408,408.96 : x
  2. Step 2: Convert to fraction form
    514,344.51/771,235.53 = 408,408.96/x
  3. Step 3: Cross multiply
    514,344.51x = 771,235.53 × 408,408.96
  4. Step 4: Simplify right side
    514,344.51x = 314,979,502,082.95
  5. Step 5: Solve for x
    x = 314,979,502,082.95/514,344.51
  6. Step 6: Final answer
    x = 612,390.13

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1.5x scale

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.