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Finding the Fourth Proportional to 514,065.88, 709,403.58 and 284,601.16

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Solution

The fourth proportional to 514,065.88, 709,403.58 and 284,601.16 is: 392,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,065.88 : 709,403.58 = 284,601.16 : x
  2. Step 2: Convert to fraction form
    514,065.88/709,403.58 = 284,601.16/x
  3. Step 3: Cross multiply
    514,065.88x = 709,403.58 × 284,601.16
  4. Step 4: Simplify right side
    514,065.88x = 201,897,081,776.15
  5. Step 5: Solve for x
    x = 201,897,081,776.15/514,065.88
  6. Step 6: Final answer
    x = 392,745.54

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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.