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Finding the Fourth Proportional to 713,896.75, 985,159.48 and 407,953.68

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Solution

The fourth proportional to 713,896.75, 985,159.48 and 407,953.68 is: 562,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,896.75 : 985,159.48 = 407,953.68 : x
  2. Step 2: Convert to fraction form
    713,896.75/985,159.48 = 407,953.68/x
  3. Step 3: Cross multiply
    713,896.75x = 985,159.48 × 407,953.68
  4. Step 4: Simplify right side
    713,896.75x = 401,899,435,252.89
  5. Step 5: Solve for x
    x = 401,899,435,252.89/713,896.75
  6. Step 6: Final answer
    x = 562,965.77

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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.