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Finding the Fourth Proportional to 476,703.36, 715,046.40 and 402,301.44

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Solution

The fourth proportional to 476,703.36, 715,046.40 and 402,301.44 is: 603,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,703.36 : 715,046.40 = 402,301.44 : x
  2. Step 2: Convert to fraction form
    476,703.36/715,046.40 = 402,301.44/x
  3. Step 3: Cross multiply
    476,703.36x = 715,046.40 × 402,301.44
  4. Step 4: Simplify right side
    476,703.36x = 287,664,196,386.82
  5. Step 5: Solve for x
    x = 287,664,196,386.82/476,703.36
  6. Step 6: Final answer
    x = 603,444.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.