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Finding the Fourth Proportional to 705,785.32, 973,874.10 and 419,298.04

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Solution

The fourth proportional to 705,785.32, 973,874.10 and 419,298.04 is: 578,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,785.32 : 973,874.10 = 419,298.04 : x
  2. Step 2: Convert to fraction form
    705,785.32/973,874.10 = 419,298.04/x
  3. Step 3: Cross multiply
    705,785.32x = 973,874.10 × 419,298.04
  4. Step 4: Simplify right side
    705,785.32x = 408,343,501,336.76
  5. Step 5: Solve for x
    x = 408,343,501,336.76/705,785.32
  6. Step 6: Final answer
    x = 578,566.16

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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.