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Finding the Fourth Proportional to 514,062.88, 709,399.44 and 284,598.16

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Solution

The fourth proportional to 514,062.88, 709,399.44 and 284,598.16 is: 392,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,062.88 : 709,399.44 = 284,598.16 : x
  2. Step 2: Convert to fraction form
    514,062.88/709,399.44 = 284,598.16/x
  3. Step 3: Cross multiply
    514,062.88x = 709,399.44 × 284,598.16
  4. Step 4: Simplify right side
    514,062.88x = 201,893,775,329.03
  5. Step 5: Solve for x
    x = 201,893,775,329.03/514,062.88
  6. Step 6: Final answer
    x = 392,741.40

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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.