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Finding the Fourth Proportional to 917,152.14, 1,265,652.15 and 509,232.78

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Solution

The fourth proportional to 917,152.14, 1,265,652.15 and 509,232.78 is: 702,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,152.14 : 1,265,652.15 = 509,232.78 : x
  2. Step 2: Convert to fraction form
    917,152.14/1,265,652.15 = 509,232.78/x
  3. Step 3: Cross multiply
    917,152.14x = 1,265,652.15 × 509,232.78
  4. Step 4: Simplify right side
    917,152.14x = 644,511,562,857.48
  5. Step 5: Solve for x
    x = 644,511,562,857.48/917,152.14
  6. Step 6: Final answer
    x = 702,731.35

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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.