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Finding the Fourth Proportional to 772,318.32, 1,065,828.24 and 432,774

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Solution

The fourth proportional to 772,318.32, 1,065,828.24 and 432,774 is: 597,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,318.32 : 1,065,828.24 = 432,774 : x
  2. Step 2: Convert to fraction form
    772,318.32/1,065,828.24 = 432,774/x
  3. Step 3: Cross multiply
    772,318.32x = 1,065,828.24 × 432,774
  4. Step 4: Simplify right side
    772,318.32x = 461,262,750,737.76
  5. Step 5: Solve for x
    x = 461,262,750,737.76/772,318.32
  6. Step 6: Final answer
    x = 597,244.35

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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.