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Finding the Fourth Proportional to 464,710.32, 641,300.57 and 260,733.09

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Solution

The fourth proportional to 464,710.32, 641,300.57 and 260,733.09 is: 359,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,710.32 : 641,300.57 = 260,733.09 : x
  2. Step 2: Convert to fraction form
    464,710.32/641,300.57 = 260,733.09/x
  3. Step 3: Cross multiply
    464,710.32x = 641,300.57 × 260,733.09
  4. Step 4: Simplify right side
    464,710.32x = 167,208,277,931.20
  5. Step 5: Solve for x
    x = 167,208,277,931.20/464,710.32
  6. Step 6: Final answer
    x = 359,811.85

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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.