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Finding the Fourth Proportional to 514,066.73, 709,434.25 and 284,624.00

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Solution

The fourth proportional to 514,066.73, 709,434.25 and 284,624.00 is: 392,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,066.73 : 709,434.25 = 284,624.00 : x
  2. Step 2: Convert to fraction form
    514,066.73/709,434.25 = 284,624.00/x
  3. Step 3: Cross multiply
    514,066.73x = 709,434.25 × 284,624.00
  4. Step 4: Simplify right side
    514,066.73x = 201,922,015,465.14
  5. Step 5: Solve for x
    x = 201,922,015,465.14/514,066.73
  6. Step 6: Final answer
    x = 392,793.40

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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.