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Finding the Fourth Proportional to 533,721.64, 736,281.38 and 329,699.16

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Solution

The fourth proportional to 533,721.64, 736,281.38 and 329,699.16 is: 454,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,721.64 : 736,281.38 = 329,699.16 : x
  2. Step 2: Convert to fraction form
    533,721.64/736,281.38 = 329,699.16/x
  3. Step 3: Cross multiply
    533,721.64x = 736,281.38 × 329,699.16
  4. Step 4: Simplify right side
    533,721.64x = 242,751,352,509.64
  5. Step 5: Solve for x
    x = 242,751,352,509.64/533,721.64
  6. Step 6: Final answer
    x = 454,827.64

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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.