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Finding the Fourth Proportional to 507,924.04, 758,177.24 and 470,920

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Solution

The fourth proportional to 507,924.04, 758,177.24 and 470,920 is: 702,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,924.04 : 758,177.24 = 470,920 : x
  2. Step 2: Convert to fraction form
    507,924.04/758,177.24 = 470,920/x
  3. Step 3: Cross multiply
    507,924.04x = 758,177.24 × 470,920
  4. Step 4: Simplify right side
    507,924.04x = 357,040,825,860.80
  5. Step 5: Solve for x
    x = 357,040,825,860.80/507,924.04
  6. Step 6: Final answer
    x = 702,941.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.