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Finding the Fourth Proportional to 514,451.68, 709,903.92 and 288,066.40

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Solution

The fourth proportional to 514,451.68, 709,903.92 and 288,066.40 is: 397,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,451.68 : 709,903.92 = 288,066.40 : x
  2. Step 2: Convert to fraction form
    514,451.68/709,903.92 = 288,066.40/x
  3. Step 3: Cross multiply
    514,451.68x = 709,903.92 × 288,066.40
  4. Step 4: Simplify right side
    514,451.68x = 204,499,466,580.29
  5. Step 5: Solve for x
    x = 204,499,466,580.29/514,451.68
  6. Step 6: Final answer
    x = 397,509.57

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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.