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Finding the Fourth Proportional to 735,602.16, 1,015,131.90 and 413,312.04

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Solution

The fourth proportional to 735,602.16, 1,015,131.90 and 413,312.04 is: 570,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,602.16 : 1,015,131.90 = 413,312.04 : x
  2. Step 2: Convert to fraction form
    735,602.16/1,015,131.90 = 413,312.04/x
  3. Step 3: Cross multiply
    735,602.16x = 1,015,131.90 × 413,312.04
  4. Step 4: Simplify right side
    735,602.16x = 419,566,236,458.08
  5. Step 5: Solve for x
    x = 419,566,236,458.08/735,602.16
  6. Step 6: Final answer
    x = 570,371.13

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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.