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Finding the Fourth Proportional to 419,218.02, 578,502.72 and 228,232.08

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Solution

The fourth proportional to 419,218.02, 578,502.72 and 228,232.08 is: 314,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,218.02 : 578,502.72 = 228,232.08 : x
  2. Step 2: Convert to fraction form
    419,218.02/578,502.72 = 228,232.08/x
  3. Step 3: Cross multiply
    419,218.02x = 578,502.72 × 228,232.08
  4. Step 4: Simplify right side
    419,218.02x = 132,032,879,071.26
  5. Step 5: Solve for x
    x = 132,032,879,071.26/419,218.02
  6. Step 6: Final answer
    x = 314,950.39

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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.