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Finding the Fourth Proportional to 760,829.90, 1,049,978.52 and 421,298.15

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Solution

The fourth proportional to 760,829.90, 1,049,978.52 and 421,298.15 is: 581,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,829.90 : 1,049,978.52 = 421,298.15 : x
  2. Step 2: Convert to fraction form
    760,829.90/1,049,978.52 = 421,298.15/x
  3. Step 3: Cross multiply
    760,829.90x = 1,049,978.52 × 421,298.15
  4. Step 4: Simplify right side
    760,829.90x = 442,354,002,765.85
  5. Step 5: Solve for x
    x = 442,354,002,765.85/760,829.90
  6. Step 6: Final answer
    x = 581,409.86

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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.