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Finding the Fourth Proportional to 713,326.98, 984,461.66 and 407,449.11

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Solution

The fourth proportional to 713,326.98, 984,461.66 and 407,449.11 is: 562,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,326.98 : 984,461.66 = 407,449.11 : x
  2. Step 2: Convert to fraction form
    713,326.98/984,461.66 = 407,449.11/x
  3. Step 3: Cross multiply
    713,326.98x = 984,461.66 × 407,449.11
  4. Step 4: Simplify right side
    713,326.98x = 401,118,027,196.12
  5. Step 5: Solve for x
    x = 401,118,027,196.12/713,326.98
  6. Step 6: Final answer
    x = 562,320.00

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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.