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Finding the Fourth Proportional to 514,452.66, 709,949.64 and 285,014.82

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Solution

The fourth proportional to 514,452.66, 709,949.64 and 285,014.82 is: 393,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,452.66 : 709,949.64 = 285,014.82 : x
  2. Step 2: Convert to fraction form
    514,452.66/709,949.64 = 285,014.82/x
  3. Step 3: Cross multiply
    514,452.66x = 709,949.64 × 285,014.82
  4. Step 4: Simplify right side
    514,452.66x = 202,346,168,853.67
  5. Step 5: Solve for x
    x = 202,346,168,853.67/514,452.66
  6. Step 6: Final answer
    x = 393,323.20

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1.5x scale

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.