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Finding the Fourth Proportional to 382,923.49, 528,579 and 301,038.10

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Solution

The fourth proportional to 382,923.49, 528,579 and 301,038.10 is: 415,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,923.49 : 528,579 = 301,038.10 : x
  2. Step 2: Convert to fraction form
    382,923.49/528,579 = 301,038.10/x
  3. Step 3: Cross multiply
    382,923.49x = 528,579 × 301,038.10
  4. Step 4: Simplify right side
    382,923.49x = 159,122,417,859.90
  5. Step 5: Solve for x
    x = 159,122,417,859.90/382,923.49
  6. Step 6: Final answer
    x = 415,546.24

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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.