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Finding the Fourth Proportional to 705,730.32, 973,798.20 and 419,243.04

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Solution

The fourth proportional to 705,730.32, 973,798.20 and 419,243.04 is: 578,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,730.32 : 973,798.20 = 419,243.04 : x
  2. Step 2: Convert to fraction form
    705,730.32/973,798.20 = 419,243.04/x
  3. Step 3: Cross multiply
    705,730.32x = 973,798.20 × 419,243.04
  4. Step 4: Simplify right side
    705,730.32x = 408,258,117,714.53
  5. Step 5: Solve for x
    x = 408,258,117,714.53/705,730.32
  6. Step 6: Final answer
    x = 578,490.26

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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.