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Finding the Fourth Proportional to 738,164, 1,018,669.84 and 415,879.14

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Solution

The fourth proportional to 738,164, 1,018,669.84 and 415,879.14 is: 573,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,164 : 1,018,669.84 = 415,879.14 : x
  2. Step 2: Convert to fraction form
    738,164/1,018,669.84 = 415,879.14/x
  3. Step 3: Cross multiply
    738,164x = 1,018,669.84 × 415,879.14
  4. Step 4: Simplify right side
    738,164x = 423,643,537,003.14
  5. Step 5: Solve for x
    x = 423,643,537,003.14/738,164
  6. Step 6: Final answer
    x = 573,915.20

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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.