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Finding the Fourth Proportional to 423,855.48, 584,677.26 and 264,603

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Solution

The fourth proportional to 423,855.48, 584,677.26 and 264,603 is: 365,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,855.48 : 584,677.26 = 264,603 : x
  2. Step 2: Convert to fraction form
    423,855.48/584,677.26 = 264,603/x
  3. Step 3: Cross multiply
    423,855.48x = 584,677.26 × 264,603
  4. Step 4: Simplify right side
    423,855.48x = 154,707,357,027.78
  5. Step 5: Solve for x
    x = 154,707,357,027.78/423,855.48
  6. Step 6: Final answer
    x = 365,000.25

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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.