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Finding the Fourth Proportional to 514,454.68, 709,908.06 and 288,069.40

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Solution

The fourth proportional to 514,454.68, 709,908.06 and 288,069.40 is: 397,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,454.68 : 709,908.06 = 288,069.40 : x
  2. Step 2: Convert to fraction form
    514,454.68/709,908.06 = 288,069.40/x
  3. Step 3: Cross multiply
    514,454.68x = 709,908.06 × 288,069.40
  4. Step 4: Simplify right side
    514,454.68x = 204,502,788,899.36
  5. Step 5: Solve for x
    x = 204,502,788,899.36/514,454.68
  6. Step 6: Final answer
    x = 397,513.71

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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.