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Finding the Fourth Proportional to 517,259.74, 713,711.44 and 302,358.24

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Solution

The fourth proportional to 517,259.74, 713,711.44 and 302,358.24 is: 417,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,259.74 : 713,711.44 = 302,358.24 : x
  2. Step 2: Convert to fraction form
    517,259.74/713,711.44 = 302,358.24/x
  3. Step 3: Cross multiply
    517,259.74x = 713,711.44 × 302,358.24
  4. Step 4: Simplify right side
    517,259.74x = 215,796,534,866.27
  5. Step 5: Solve for x
    x = 215,796,534,866.27/517,259.74
  6. Step 6: Final answer
    x = 417,191.82

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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.