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Finding the Fourth Proportional to 507,407.09, 700,222.07 and 277,972.68

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Solution

The fourth proportional to 507,407.09, 700,222.07 and 277,972.68 is: 383,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,407.09 : 700,222.07 = 277,972.68 : x
  2. Step 2: Convert to fraction form
    507,407.09/700,222.07 = 277,972.68/x
  3. Step 3: Cross multiply
    507,407.09x = 700,222.07 × 277,972.68
  4. Step 4: Simplify right side
    507,407.09x = 194,642,604,003.18
  5. Step 5: Solve for x
    x = 194,642,604,003.18/507,407.09
  6. Step 6: Final answer
    x = 383,602.46

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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.