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Finding the Fourth Proportional to 514,104.93, 709,441.47 and 284,645.97

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Solution

The fourth proportional to 514,104.93, 709,441.47 and 284,645.97 is: 392,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,104.93 : 709,441.47 = 284,645.97 : x
  2. Step 2: Convert to fraction form
    514,104.93/709,441.47 = 284,645.97/x
  3. Step 3: Cross multiply
    514,104.93x = 709,441.47 × 284,645.97
  4. Step 4: Simplify right side
    514,104.93x = 201,939,655,386.38
  5. Step 5: Solve for x
    x = 201,939,655,386.38/514,104.93
  6. Step 6: Final answer
    x = 392,798.52

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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.