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Finding the Fourth Proportional to 705,931.36, 973,746.48 and 419,244.64

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Solution

The fourth proportional to 705,931.36, 973,746.48 and 419,244.64 is: 578,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,931.36 : 973,746.48 = 419,244.64 : x
  2. Step 2: Convert to fraction form
    705,931.36/973,746.48 = 419,244.64/x
  3. Step 3: Cross multiply
    705,931.36x = 973,746.48 × 419,244.64
  4. Step 4: Simplify right side
    705,931.36x = 408,237,992,458.87
  5. Step 5: Solve for x
    x = 408,237,992,458.87/705,931.36
  6. Step 6: Final answer
    x = 578,297.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.