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Finding the Fourth Proportional to 713,081.64, 1,070,042.92 and 264,117.88

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Solution

The fourth proportional to 713,081.64, 1,070,042.92 and 264,117.88 is: 396,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,081.64 : 1,070,042.92 = 264,117.88 : x
  2. Step 2: Convert to fraction form
    713,081.64/1,070,042.92 = 264,117.88/x
  3. Step 3: Cross multiply
    713,081.64x = 1,070,042.92 × 264,117.88
  4. Step 4: Simplify right side
    713,081.64x = 282,617,467,539.41
  5. Step 5: Solve for x
    x = 282,617,467,539.41/713,081.64
  6. Step 6: Final answer
    x = 396,332.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.