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Finding the Fourth Proportional to 713,756.16, 984,978.86 and 407,926.08

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Solution

The fourth proportional to 713,756.16, 984,978.86 and 407,926.08 is: 562,935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,756.16 : 984,978.86 = 407,926.08 : x
  2. Step 2: Convert to fraction form
    713,756.16/984,978.86 = 407,926.08/x
  3. Step 3: Cross multiply
    713,756.16x = 984,978.86 × 407,926.08
  4. Step 4: Simplify right side
    713,756.16x = 401,798,565,242.67
  5. Step 5: Solve for x
    x = 401,798,565,242.67/713,756.16
  6. Step 6: Final answer
    x = 562,935.34

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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.