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Finding the Fourth Proportional to 705,548.44, 973,798.56 and 419,013.16

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Solution

The fourth proportional to 705,548.44, 973,798.56 and 419,013.16 is: 578,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,548.44 : 973,798.56 = 419,013.16 : x
  2. Step 2: Convert to fraction form
    705,548.44/973,798.56 = 419,013.16/x
  3. Step 3: Cross multiply
    705,548.44x = 973,798.56 × 419,013.16
  4. Step 4: Simplify right side
    705,548.44x = 408,034,411,829.05
  5. Step 5: Solve for x
    x = 408,034,411,829.05/705,548.44
  6. Step 6: Final answer
    x = 578,322.32

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1.5x scale

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.