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Finding the Fourth Proportional to 713,410.24, 984,514.14 and 407,527.12

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Solution

The fourth proportional to 713,410.24, 984,514.14 and 407,527.12 is: 562,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,410.24 : 984,514.14 = 407,527.12 : x
  2. Step 2: Convert to fraction form
    713,410.24/984,514.14 = 407,527.12/x
  3. Step 3: Cross multiply
    713,410.24x = 984,514.14 × 407,527.12
  4. Step 4: Simplify right side
    713,410.24x = 401,216,212,073.48
  5. Step 5: Solve for x
    x = 401,216,212,073.48/713,410.24
  6. Step 6: Final answer
    x = 562,392.00

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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.