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Finding the Fourth Proportional to 510,904.40, 705,047.59 and 296,168.94

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Solution

The fourth proportional to 510,904.40, 705,047.59 and 296,168.94 is: 408,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,904.40 : 705,047.59 = 296,168.94 : x
  2. Step 2: Convert to fraction form
    510,904.40/705,047.59 = 296,168.94/x
  3. Step 3: Cross multiply
    510,904.40x = 705,047.59 × 296,168.94
  4. Step 4: Simplify right side
    510,904.40x = 208,813,197,379.86
  5. Step 5: Solve for x
    x = 208,813,197,379.86/510,904.40
  6. Step 6: Final answer
    x = 408,712.86

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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.