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Finding the Fourth Proportional to 1,411,985.72, 1,948,553.10 and 767,407.46

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Solution

The fourth proportional to 1,411,985.72, 1,948,553.10 and 767,407.46 is: 1,059,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,985.72 : 1,948,553.10 = 767,407.46 : x
  2. Step 2: Convert to fraction form
    1,411,985.72/1,948,553.10 = 767,407.46/x
  3. Step 3: Cross multiply
    1,411,985.72x = 1,948,553.10 × 767,407.46
  4. Step 4: Simplify right side
    1,411,985.72x = 1,495,334,185,146.13
  5. Step 5: Solve for x
    x = 1,495,334,185,146.13/1,411,985.72
  6. Step 6: Final answer
    x = 1,059,029.26

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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.