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Finding the Fourth Proportional to 735,390.33, 1,014,728.11 and 413,038.68

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Solution

The fourth proportional to 735,390.33, 1,014,728.11 and 413,038.68 is: 569,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,390.33 : 1,014,728.11 = 413,038.68 : x
  2. Step 2: Convert to fraction form
    735,390.33/1,014,728.11 = 413,038.68/x
  3. Step 3: Cross multiply
    735,390.33x = 1,014,728.11 × 413,038.68
  4. Step 4: Simplify right side
    735,390.33x = 419,121,959,113.30
  5. Step 5: Solve for x
    x = 419,121,959,113.30/735,390.33
  6. Step 6: Final answer
    x = 569,931.29

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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.