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Finding the Fourth Proportional to 475,470.61, 656,216.71 and 294,240.90

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Solution

The fourth proportional to 475,470.61, 656,216.71 and 294,240.90 is: 406,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,470.61 : 656,216.71 = 294,240.90 : x
  2. Step 2: Convert to fraction form
    475,470.61/656,216.71 = 294,240.90/x
  3. Step 3: Cross multiply
    475,470.61x = 656,216.71 × 294,240.90
  4. Step 4: Simplify right side
    475,470.61x = 193,085,797,070.65
  5. Step 5: Solve for x
    x = 193,085,797,070.65/475,470.61
  6. Step 6: Final answer
    x = 406,094.08

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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.