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Finding the Fourth Proportional to 517,079.16, 713,329.74 and 302,228.28

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Solution

The fourth proportional to 517,079.16, 713,329.74 and 302,228.28 is: 416,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,079.16 : 713,329.74 = 302,228.28 : x
  2. Step 2: Convert to fraction form
    517,079.16/713,329.74 = 302,228.28/x
  3. Step 3: Cross multiply
    517,079.16x = 713,329.74 × 302,228.28
  4. Step 4: Simplify right side
    517,079.16x = 215,588,420,393.05
  5. Step 5: Solve for x
    x = 215,588,420,393.05/517,079.16
  6. Step 6: Final answer
    x = 416,935.04

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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.