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Finding the Fourth Proportional to 650,415.26, 897,465.98 and 408,525.54

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Solution

The fourth proportional to 650,415.26, 897,465.98 and 408,525.54 is: 563,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,415.26 : 897,465.98 = 408,525.54 : x
  2. Step 2: Convert to fraction form
    650,415.26/897,465.98 = 408,525.54/x
  3. Step 3: Cross multiply
    650,415.26x = 897,465.98 × 408,525.54
  4. Step 4: Simplify right side
    650,415.26x = 366,637,774,111.13
  5. Step 5: Solve for x
    x = 366,637,774,111.13/650,415.26
  6. Step 6: Final answer
    x = 563,697.99

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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.