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Finding the Fourth Proportional to 713,926.32, 985,209.12 and 407,999.19

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Solution

The fourth proportional to 713,926.32, 985,209.12 and 407,999.19 is: 563,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,926.32 : 985,209.12 = 407,999.19 : x
  2. Step 2: Convert to fraction form
    713,926.32/985,209.12 = 407,999.19/x
  3. Step 3: Cross multiply
    713,926.32x = 985,209.12 × 407,999.19
  4. Step 4: Simplify right side
    713,926.32x = 401,964,522,940.61
  5. Step 5: Solve for x
    x = 401,964,522,940.61/713,926.32
  6. Step 6: Final answer
    x = 563,033.62

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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.