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Finding the Fourth Proportional to 569,479.08, 785,897.64 and 314,846.76

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Solution

The fourth proportional to 569,479.08, 785,897.64 and 314,846.76 is: 434,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,479.08 : 785,897.64 = 314,846.76 : x
  2. Step 2: Convert to fraction form
    569,479.08/785,897.64 = 314,846.76/x
  3. Step 3: Cross multiply
    569,479.08x = 785,897.64 × 314,846.76
  4. Step 4: Simplify right side
    569,479.08x = 247,437,325,645.65
  5. Step 5: Solve for x
    x = 247,437,325,645.65/569,479.08
  6. Step 6: Final answer
    x = 434,497.66

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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.