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Finding the Fourth Proportional to 512,926.94, 708,036.72 and 459,117.02

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Solution

The fourth proportional to 512,926.94, 708,036.72 and 459,117.02 is: 633,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,926.94 : 708,036.72 = 459,117.02 : x
  2. Step 2: Convert to fraction form
    512,926.94/708,036.72 = 459,117.02/x
  3. Step 3: Cross multiply
    512,926.94x = 708,036.72 × 459,117.02
  4. Step 4: Simplify right side
    512,926.94x = 325,071,708,936.97
  5. Step 5: Solve for x
    x = 325,071,708,936.97/512,926.94
  6. Step 6: Final answer
    x = 633,758.31

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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.